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Finding the Third Proportional to 37,727,766 and 80,833,909.50

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Solution

The third proportional to 37,727,766 and 80,833,909.50 is: 173,191,302.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,727,766 : 80,833,909.50 = 80,833,909.50 : x
  2. Step 2: Convert to fraction form
    37,727,766/80,833,909.50 = 80,833,909.50/x
  3. Step 3: Cross multiply
    37,727,766x = 80,833,909.50 × 80,833,909.50
  4. Step 4: Simplify right side
    37,727,766x = 6,534,120,925,054,190
  5. Step 5: Solve for x
    x = 6,534,120,925,054,190/37,727,766
  6. Step 6: Final answer
    x = 173,191,302.26

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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.