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Finding the Third Proportional to 45,957,113 and 99,573,464

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Solution

The third proportional to 45,957,113 and 99,573,464 is: 215,741,896.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,957,113 : 99,573,464 = 99,573,464 : x
  2. Step 2: Convert to fraction form
    45,957,113/99,573,464 = 99,573,464/x
  3. Step 3: Cross multiply
    45,957,113x = 99,573,464 × 99,573,464
  4. Step 4: Simplify right side
    45,957,113x = 9,914,874,732,959,296
  5. Step 5: Solve for x
    x = 9,914,874,732,959,296/45,957,113
  6. Step 6: Final answer
    x = 215,741,896.86

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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.