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Finding the Third Proportional to 38,432,749.50 and 83,002,761

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Solution

The third proportional to 38,432,749.50 and 83,002,761 is: 179,260,095.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,432,749.50 : 83,002,761 = 83,002,761 : x
  2. Step 2: Convert to fraction form
    38,432,749.50/83,002,761 = 83,002,761/x
  3. Step 3: Cross multiply
    38,432,749.50x = 83,002,761 × 83,002,761
  4. Step 4: Simplify right side
    38,432,749.50x = 6,889,458,333,623,121
  5. Step 5: Solve for x
    x = 6,889,458,333,623,121/38,432,749.50
  6. Step 6: Final answer
    x = 179,260,095.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.