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Finding the Third Proportional to 41,727,834 and 63,831,591

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Solution

The third proportional to 41,727,834 and 63,831,591 is: 97,643,985.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,727,834 : 63,831,591 = 63,831,591 : x
  2. Step 2: Convert to fraction form
    41,727,834/63,831,591 = 63,831,591/x
  3. Step 3: Cross multiply
    41,727,834x = 63,831,591 × 63,831,591
  4. Step 4: Simplify right side
    41,727,834x = 4,074,472,009,591,281
  5. Step 5: Solve for x
    x = 4,074,472,009,591,281/41,727,834
  6. Step 6: Final answer
    x = 97,643,985.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.