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Finding the Third Proportional to 5,176,668,726 and 11,321,891,710

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Solution

The third proportional to 5,176,668,726 and 11,321,891,710 is: 24,762,108,351.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176,668,726 : 11,321,891,710 = 11,321,891,710 : x
  2. Step 2: Convert to fraction form
    5,176,668,726/11,321,891,710 = 11,321,891,710/x
  3. Step 3: Cross multiply
    5,176,668,726x = 11,321,891,710 × 11,321,891,710
  4. Step 4: Simplify right side
    5,176,668,726x = 128,185,231,892,966,719,488
  5. Step 5: Solve for x
    x = 128,185,231,892,966,719,488/5,176,668,726
  6. Step 6: Final answer
    x = 24,762,108,351.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.