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Finding the Third Proportional to 31,812,580 and 48,643,302

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Solution

The third proportional to 31,812,580 and 48,643,302 is: 74,378,463.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,812,580 : 48,643,302 = 48,643,302 : x
  2. Step 2: Convert to fraction form
    31,812,580/48,643,302 = 48,643,302/x
  3. Step 3: Cross multiply
    31,812,580x = 48,643,302 × 48,643,302
  4. Step 4: Simplify right side
    31,812,580x = 2,366,170,829,463,204
  5. Step 5: Solve for x
    x = 2,366,170,829,463,204/31,812,580
  6. Step 6: Final answer
    x = 74,378,463.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.