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Finding the Third Proportional to 53,103,188 and 82,013,115

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Solution

The third proportional to 53,103,188 and 82,013,115 is: 126,661,906.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,103,188 : 82,013,115 = 82,013,115 : x
  2. Step 2: Convert to fraction form
    53,103,188/82,013,115 = 82,013,115/x
  3. Step 3: Cross multiply
    53,103,188x = 82,013,115 × 82,013,115
  4. Step 4: Simplify right side
    53,103,188x = 6,726,151,032,003,225
  5. Step 5: Solve for x
    x = 6,726,151,032,003,225/53,103,188
  6. Step 6: Final answer
    x = 126,661,906.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.