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Finding the Third Proportional to 45,957,117 and 99,573,472

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Solution

The third proportional to 45,957,117 and 99,573,472 is: 215,741,912.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,957,117 : 99,573,472 = 99,573,472 : x
  2. Step 2: Convert to fraction form
    45,957,117/99,573,472 = 99,573,472/x
  3. Step 3: Cross multiply
    45,957,117x = 99,573,472 × 99,573,472
  4. Step 4: Simplify right side
    45,957,117x = 9,914,876,326,134,784
  5. Step 5: Solve for x
    x = 9,914,876,326,134,784/45,957,117
  6. Step 6: Final answer
    x = 215,741,912.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.