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Finding the Third Proportional to 10,181,262 and 14,241,591

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Solution

The third proportional to 10,181,262 and 14,241,591 is: 19,921,195.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,181,262 : 14,241,591 = 14,241,591 : x
  2. Step 2: Convert to fraction form
    10,181,262/14,241,591 = 14,241,591/x
  3. Step 3: Cross multiply
    10,181,262x = 14,241,591 × 14,241,591
  4. Step 4: Simplify right side
    10,181,262x = 202,822,914,211,281
  5. Step 5: Solve for x
    x = 202,822,914,211,281/10,181,262
  6. Step 6: Final answer
    x = 19,921,195.84

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.