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Finding the Third Proportional to 10,498,639 and 21,835,342

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Solution

The third proportional to 10,498,639 and 21,835,342 is: 45,413,711.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498,639 : 21,835,342 = 21,835,342 : x
  2. Step 2: Convert to fraction form
    10,498,639/21,835,342 = 21,835,342/x
  3. Step 3: Cross multiply
    10,498,639x = 21,835,342 × 21,835,342
  4. Step 4: Simplify right side
    10,498,639x = 476,782,160,256,964
  5. Step 5: Solve for x
    x = 476,782,160,256,964/10,498,639
  6. Step 6: Final answer
    x = 45,413,711.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.