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Finding the Third Proportional to 41,253,769 and 87,425,127

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Solution

The third proportional to 41,253,769 and 87,425,127 is: 185,271,625.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,253,769 : 87,425,127 = 87,425,127 : x
  2. Step 2: Convert to fraction form
    41,253,769/87,425,127 = 87,425,127/x
  3. Step 3: Cross multiply
    41,253,769x = 87,425,127 × 87,425,127
  4. Step 4: Simplify right side
    41,253,769x = 7,643,152,830,966,129
  5. Step 5: Solve for x
    x = 7,643,152,830,966,129/41,253,769
  6. Step 6: Final answer
    x = 185,271,625.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.