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Finding the Third Proportional to 32,522,964 and 64,223,400

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Solution

The third proportional to 32,522,964 and 64,223,400 is: 126,822,546.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,522,964 : 64,223,400 = 64,223,400 : x
  2. Step 2: Convert to fraction form
    32,522,964/64,223,400 = 64,223,400/x
  3. Step 3: Cross multiply
    32,522,964x = 64,223,400 × 64,223,400
  4. Step 4: Simplify right side
    32,522,964x = 4,124,645,107,560,000
  5. Step 5: Solve for x
    x = 4,124,645,107,560,000/32,522,964
  6. Step 6: Final answer
    x = 126,822,546.30

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.