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Finding the Third Proportional to 42,591,290 and 92,645,013

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Solution

The third proportional to 42,591,290 and 92,645,013 is: 201,522,387.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,591,290 : 92,645,013 = 92,645,013 : x
  2. Step 2: Convert to fraction form
    42,591,290/92,645,013 = 92,645,013/x
  3. Step 3: Cross multiply
    42,591,290x = 92,645,013 × 92,645,013
  4. Step 4: Simplify right side
    42,591,290x = 8,583,098,433,770,169
  5. Step 5: Solve for x
    x = 8,583,098,433,770,169/42,591,290
  6. Step 6: Final answer
    x = 201,522,387.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.