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Finding the Third Proportional to 31,490,911 and 47,072,419

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Solution

The third proportional to 31,490,911 and 47,072,419 is: 70,363,560.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,490,911 : 47,072,419 = 47,072,419 : x
  2. Step 2: Convert to fraction form
    31,490,911/47,072,419 = 47,072,419/x
  3. Step 3: Cross multiply
    31,490,911x = 47,072,419 × 47,072,419
  4. Step 4: Simplify right side
    31,490,911x = 2,215,812,630,511,561
  5. Step 5: Solve for x
    x = 2,215,812,630,511,561/31,490,911
  6. Step 6: Final answer
    x = 70,363,560.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.