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Finding the Third Proportional to 632,797,952 and 1,386,244,432

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Solution

The third proportional to 632,797,952 and 1,386,244,432 is: 3,036,788,629.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,797,952 : 1,386,244,432 = 1,386,244,432 : x
  2. Step 2: Convert to fraction form
    632,797,952/1,386,244,432 = 1,386,244,432/x
  3. Step 3: Cross multiply
    632,797,952x = 1,386,244,432 × 1,386,244,432
  4. Step 4: Simplify right side
    632,797,952x = 1,921,673,625,251,002,624
  5. Step 5: Solve for x
    x = 1,921,673,625,251,002,624/632,797,952
  6. Step 6: Final answer
    x = 3,036,788,629.26

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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.