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Finding the Third Proportional to 37,727,910 and 80,834,200

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Solution

The third proportional to 37,727,910 and 80,834,200 is: 173,191,886.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,727,910 : 80,834,200 = 80,834,200 : x
  2. Step 2: Convert to fraction form
    37,727,910/80,834,200 = 80,834,200/x
  3. Step 3: Cross multiply
    37,727,910x = 80,834,200 × 80,834,200
  4. Step 4: Simplify right side
    37,727,910x = 6,534,167,889,640,000
  5. Step 5: Solve for x
    x = 6,534,167,889,640,000/37,727,910
  6. Step 6: Final answer
    x = 173,191,886.05

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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.