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Finding the Third Proportional to 1,474,468,644 and 3,167,752,416

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Solution

The third proportional to 1,474,468,644 and 3,167,752,416 is: 6,805,607,843.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474,468,644 : 3,167,752,416 = 3,167,752,416 : x
  2. Step 2: Convert to fraction form
    1,474,468,644/3,167,752,416 = 3,167,752,416/x
  3. Step 3: Cross multiply
    1,474,468,644x = 3,167,752,416 × 3,167,752,416
  4. Step 4: Simplify right side
    1,474,468,644x = 10,034,655,369,073,836,032
  5. Step 5: Solve for x
    x = 10,034,655,369,073,836,032/1,474,468,644
  6. Step 6: Final answer
    x = 6,805,607,843.82

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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.