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Finding the Third Proportional to 31,195,417 and 48,558,713

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Solution

The third proportional to 31,195,417 and 48,558,713 is: 75,586,378.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,195,417 : 48,558,713 = 48,558,713 : x
  2. Step 2: Convert to fraction form
    31,195,417/48,558,713 = 48,558,713/x
  3. Step 3: Cross multiply
    31,195,417x = 48,558,713 × 48,558,713
  4. Step 4: Simplify right side
    31,195,417x = 2,357,948,608,216,369
  5. Step 5: Solve for x
    x = 2,357,948,608,216,369/31,195,417
  6. Step 6: Final answer
    x = 75,586,378.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.