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Finding the Third Proportional to 32,964,132 and 48,459,591

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Solution

The third proportional to 32,964,132 and 48,459,591 is: 71,239,004.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,964,132 : 48,459,591 = 48,459,591 : x
  2. Step 2: Convert to fraction form
    32,964,132/48,459,591 = 48,459,591/x
  3. Step 3: Cross multiply
    32,964,132x = 48,459,591 × 48,459,591
  4. Step 4: Simplify right side
    32,964,132x = 2,348,331,959,887,281
  5. Step 5: Solve for x
    x = 2,348,331,959,887,281/32,964,132
  6. Step 6: Final answer
    x = 71,239,004.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.