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Finding the Third Proportional to 32,372,769 and 67,738,650

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Solution

The third proportional to 32,372,769 and 67,738,650 is: 141,740,260.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,372,769 : 67,738,650 = 67,738,650 : x
  2. Step 2: Convert to fraction form
    32,372,769/67,738,650 = 67,738,650/x
  3. Step 3: Cross multiply
    32,372,769x = 67,738,650 × 67,738,650
  4. Step 4: Simplify right side
    32,372,769x = 4,588,524,703,822,500
  5. Step 5: Solve for x
    x = 4,588,524,703,822,500/32,372,769
  6. Step 6: Final answer
    x = 141,740,260.27

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.