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Finding the Third Proportional to 31,600,000 and 47,192,928

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Solution

The third proportional to 31,600,000 and 47,192,928 is: 70,480,140.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,600,000 : 47,192,928 = 47,192,928 : x
  2. Step 2: Convert to fraction form
    31,600,000/47,192,928 = 47,192,928/x
  3. Step 3: Cross multiply
    31,600,000x = 47,192,928 × 47,192,928
  4. Step 4: Simplify right side
    31,600,000x = 2,227,172,453,213,184
  5. Step 5: Solve for x
    x = 2,227,172,453,213,184/31,600,000
  6. Step 6: Final answer
    x = 70,480,140.92

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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.