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Finding the Third Proportional to 40,374,009 and 88,564,561

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Solution

The third proportional to 40,374,009 and 88,564,561 is: 194,275,516.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,374,009 : 88,564,561 = 88,564,561 : x
  2. Step 2: Convert to fraction form
    40,374,009/88,564,561 = 88,564,561/x
  3. Step 3: Cross multiply
    40,374,009x = 88,564,561 × 88,564,561
  4. Step 4: Simplify right side
    40,374,009x = 7,843,681,465,122,721
  5. Step 5: Solve for x
    x = 7,843,681,465,122,721/40,374,009
  6. Step 6: Final answer
    x = 194,275,516.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.