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Finding the Third Proportional to 11,046,899 and 24,005,972

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Solution

The third proportional to 11,046,899 and 24,005,972 is: 52,167,281.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,046,899 : 24,005,972 = 24,005,972 : x
  2. Step 2: Convert to fraction form
    11,046,899/24,005,972 = 24,005,972/x
  3. Step 3: Cross multiply
    11,046,899x = 24,005,972 × 24,005,972
  4. Step 4: Simplify right side
    11,046,899x = 576,286,691,664,784
  5. Step 5: Solve for x
    x = 576,286,691,664,784/11,046,899
  6. Step 6: Final answer
    x = 52,167,281.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.