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Finding the Third Proportional to 1,231,291,498 and 2,708,838,866

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Solution

The third proportional to 1,231,291,498 and 2,708,838,866 is: 5,959,440,160.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231,291,498 : 2,708,838,866 = 2,708,838,866 : x
  2. Step 2: Convert to fraction form
    1,231,291,498/2,708,838,866 = 2,708,838,866/x
  3. Step 3: Cross multiply
    1,231,291,498x = 2,708,838,866 × 2,708,838,866
  4. Step 4: Simplify right side
    1,231,291,498x = 7,337,808,001,952,165,888
  5. Step 5: Solve for x
    x = 7,337,808,001,952,165,888/1,231,291,498
  6. Step 6: Final answer
    x = 5,959,440,160.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.