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Finding the Third Proportional to 31,527,897 and 47,517,354

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Solution

The third proportional to 31,527,897 and 47,517,354 is: 71,615,906.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,527,897 : 47,517,354 = 47,517,354 : x
  2. Step 2: Convert to fraction form
    31,527,897/47,517,354 = 47,517,354/x
  3. Step 3: Cross multiply
    31,527,897x = 47,517,354 × 47,517,354
  4. Step 4: Simplify right side
    31,527,897x = 2,257,898,931,161,316
  5. Step 5: Solve for x
    x = 2,257,898,931,161,316/31,527,897
  6. Step 6: Final answer
    x = 71,615,906.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.