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Finding the Third Proportional to 45,957,123 and 99,573,483

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Solution

The third proportional to 45,957,123 and 99,573,483 is: 215,741,932.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,957,123 : 99,573,483 = 99,573,483 : x
  2. Step 2: Convert to fraction form
    45,957,123/99,573,483 = 99,573,483/x
  3. Step 3: Cross multiply
    45,957,123x = 99,573,483 × 99,573,483
  4. Step 4: Simplify right side
    45,957,123x = 9,914,878,516,751,288
  5. Step 5: Solve for x
    x = 9,914,878,516,751,288/45,957,123
  6. Step 6: Final answer
    x = 215,741,932.25

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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.