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Finding the Third Proportional to 700,726,788 and 1,654,131,348

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Solution

The third proportional to 700,726,788 and 1,654,131,348 is: 3,904,732,291.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,726,788 : 1,654,131,348 = 1,654,131,348 : x
  2. Step 2: Convert to fraction form
    700,726,788/1,654,131,348 = 1,654,131,348/x
  3. Step 3: Cross multiply
    700,726,788x = 1,654,131,348 × 1,654,131,348
  4. Step 4: Simplify right side
    700,726,788x = 2,736,150,516,436,297,216
  5. Step 5: Solve for x
    x = 2,736,150,516,436,297,216/700,726,788
  6. Step 6: Final answer
    x = 3,904,732,291.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.