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Finding the Third Proportional to 45,284,864 and 99,466,120

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Solution

The third proportional to 45,284,864 and 99,466,120 is: 218,472,755.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,284,864 : 99,466,120 = 99,466,120 : x
  2. Step 2: Convert to fraction form
    45,284,864/99,466,120 = 99,466,120/x
  3. Step 3: Cross multiply
    45,284,864x = 99,466,120 × 99,466,120
  4. Step 4: Simplify right side
    45,284,864x = 9,893,509,027,854,400
  5. Step 5: Solve for x
    x = 9,893,509,027,854,400/45,284,864
  6. Step 6: Final answer
    x = 218,472,755.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.