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Finding the Third Proportional to 20,894,314 and 29,591,871

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Solution

The third proportional to 20,894,314 and 29,591,871 is: 41,909,910.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,894,314 : 29,591,871 = 29,591,871 : x
  2. Step 2: Convert to fraction form
    20,894,314/29,591,871 = 29,591,871/x
  3. Step 3: Cross multiply
    20,894,314x = 29,591,871 × 29,591,871
  4. Step 4: Simplify right side
    20,894,314x = 875,678,829,280,641
  5. Step 5: Solve for x
    x = 875,678,829,280,641/20,894,314
  6. Step 6: Final answer
    x = 41,909,910.48

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.