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Finding the Third Proportional to 627,802,972 and 1,351,553,384

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Solution

The third proportional to 627,802,972 and 1,351,553,384 is: 2,909,665,342.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,802,972 : 1,351,553,384 = 1,351,553,384 : x
  2. Step 2: Convert to fraction form
    627,802,972/1,351,553,384 = 1,351,553,384/x
  3. Step 3: Cross multiply
    627,802,972x = 1,351,553,384 × 1,351,553,384
  4. Step 4: Simplify right side
    627,802,972x = 1,826,696,549,801,851,392
  5. Step 5: Solve for x
    x = 1,826,696,549,801,851,392/627,802,972
  6. Step 6: Final answer
    x = 2,909,665,342.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.