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Finding the Third Proportional to 2,299,835,668,407.80 and 4,966,876,647,053.10

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Solution

The third proportional to 2,299,835,668,407.80 and 4,966,876,647,053.10 is: 10,726,794,077,474.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299,835,668,407.80 : 4,966,876,647,053.10 = 4,966,876,647,053.10 : x
  2. Step 2: Convert to fraction form
    2,299,835,668,407.80/4,966,876,647,053.10 = 4,966,876,647,053.10/x
  3. Step 3: Cross multiply
    2,299,835,668,407.80x = 4,966,876,647,053.10 × 4,966,876,647,053.10
  4. Step 4: Simplify right side
    2,299,835,668,407.80x = 24,669,863,627,041,438,978,539,520
  5. Step 5: Solve for x
    x = 24,669,863,627,041,438,978,539,520/2,299,835,668,407.80
  6. Step 6: Final answer
    x = 10,726,794,077,474.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.