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Finding the Third Proportional to 32,691,825 and 69,368,637

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Solution

The third proportional to 32,691,825 and 69,368,637 is: 147,193,000.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,691,825 : 69,368,637 = 69,368,637 : x
  2. Step 2: Convert to fraction form
    32,691,825/69,368,637 = 69,368,637/x
  3. Step 3: Cross multiply
    32,691,825x = 69,368,637 × 69,368,637
  4. Step 4: Simplify right side
    32,691,825x = 4,812,007,799,237,769
  5. Step 5: Solve for x
    x = 4,812,007,799,237,769/32,691,825
  6. Step 6: Final answer
    x = 147,193,000.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.