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Finding the Third Proportional to 728,726,874.75 and 1,573,571,454.75

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Solution

The third proportional to 728,726,874.75 and 1,573,571,454.75 is: 3,397,880,892.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,726,874.75 : 1,573,571,454.75 = 1,573,571,454.75 : x
  2. Step 2: Convert to fraction form
    728,726,874.75/1,573,571,454.75 = 1,573,571,454.75/x
  3. Step 3: Cross multiply
    728,726,874.75x = 1,573,571,454.75 × 1,573,571,454.75
  4. Step 4: Simplify right side
    728,726,874.75x = 2,476,127,123,204,031,488
  5. Step 5: Solve for x
    x = 2,476,127,123,204,031,488/728,726,874.75
  6. Step 6: Final answer
    x = 3,397,880,892.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.