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Finding the Third Proportional to 32,049,828 and 65,232,314

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Solution

The third proportional to 32,049,828 and 65,232,314 is: 132,769,972.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,049,828 : 65,232,314 = 65,232,314 : x
  2. Step 2: Convert to fraction form
    32,049,828/65,232,314 = 65,232,314/x
  3. Step 3: Cross multiply
    32,049,828x = 65,232,314 × 65,232,314
  4. Step 4: Simplify right side
    32,049,828x = 4,255,254,789,794,596
  5. Step 5: Solve for x
    x = 4,255,254,789,794,596/32,049,828
  6. Step 6: Final answer
    x = 132,769,972.74

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.