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Finding the Third Proportional to 2,436,915,504 and 3,712,511,304

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Solution

The third proportional to 2,436,915,504 and 3,712,511,304 is: 5,655,813,736.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,436,915,504 : 3,712,511,304 = 3,712,511,304 : x
  2. Step 2: Convert to fraction form
    2,436,915,504/3,712,511,304 = 3,712,511,304/x
  3. Step 3: Cross multiply
    2,436,915,504x = 3,712,511,304 × 3,712,511,304
  4. Step 4: Simplify right side
    2,436,915,504x = 13,782,740,182,327,781,376
  5. Step 5: Solve for x
    x = 13,782,740,182,327,781,376/2,436,915,504
  6. Step 6: Final answer
    x = 5,655,813,736.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.