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Finding the Third Proportional to 581,468,910 and 1,275,917,013

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Solution

The third proportional to 581,468,910 and 1,275,917,013 is: 2,799,744,227.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,468,910 : 1,275,917,013 = 1,275,917,013 : x
  2. Step 2: Convert to fraction form
    581,468,910/1,275,917,013 = 1,275,917,013/x
  3. Step 3: Cross multiply
    581,468,910x = 1,275,917,013 × 1,275,917,013
  4. Step 4: Simplify right side
    581,468,910x = 1,627,964,224,062,842,112
  5. Step 5: Solve for x
    x = 1,627,964,224,062,842,112/581,468,910
  6. Step 6: Final answer
    x = 2,799,744,227.19

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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.