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Finding the Third Proportional to 42,443,849 and 90,938,374

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Solution

The third proportional to 42,443,849 and 90,938,374 is: 194,840,667.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,443,849 : 90,938,374 = 90,938,374 : x
  2. Step 2: Convert to fraction form
    42,443,849/90,938,374 = 90,938,374/x
  3. Step 3: Cross multiply
    42,443,849x = 90,938,374 × 90,938,374
  4. Step 4: Simplify right side
    42,443,849x = 8,269,787,865,763,876
  5. Step 5: Solve for x
    x = 8,269,787,865,763,876/42,443,849
  6. Step 6: Final answer
    x = 194,840,667.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.