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Finding the Third Proportional to 11,232,972 and 24,255,861.75

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Solution

The third proportional to 11,232,972 and 24,255,861.75 is: 52,376,773.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,232,972 : 24,255,861.75 = 24,255,861.75 : x
  2. Step 2: Convert to fraction form
    11,232,972/24,255,861.75 = 24,255,861.75/x
  3. Step 3: Cross multiply
    11,232,972x = 24,255,861.75 × 24,255,861.75
  4. Step 4: Simplify right side
    11,232,972x = 588,346,829,235,113
  5. Step 5: Solve for x
    x = 588,346,829,235,113/11,232,972
  6. Step 6: Final answer
    x = 52,376,773.42

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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.