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Finding the Third Proportional to 2,687,840,434 and 3,737,227,276

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Solution

The third proportional to 2,687,840,434 and 3,737,227,276 is: 5,196,315,799.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687,840,434 : 3,737,227,276 = 3,737,227,276 : x
  2. Step 2: Convert to fraction form
    2,687,840,434/3,737,227,276 = 3,737,227,276/x
  3. Step 3: Cross multiply
    2,687,840,434x = 3,737,227,276 × 3,737,227,276
  4. Step 4: Simplify right side
    2,687,840,434x = 13,966,867,712,478,380,032
  5. Step 5: Solve for x
    x = 13,966,867,712,478,380,032/2,687,840,434
  6. Step 6: Final answer
    x = 5,196,315,799.03

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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.