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Finding the Third Proportional to 2,687,840,438 and 3,737,227,282

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Solution

The third proportional to 2,687,840,438 and 3,737,227,282 is: 5,196,315,807.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687,840,438 : 3,737,227,282 = 3,737,227,282 : x
  2. Step 2: Convert to fraction form
    2,687,840,438/3,737,227,282 = 3,737,227,282/x
  3. Step 3: Cross multiply
    2,687,840,438x = 3,737,227,282 × 3,737,227,282
  4. Step 4: Simplify right side
    2,687,840,438x = 13,966,867,757,325,107,200
  5. Step 5: Solve for x
    x = 13,966,867,757,325,107,200/2,687,840,438
  6. Step 6: Final answer
    x = 5,196,315,807.99

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.