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Finding the Third Proportional to 12,543,772 and 17,664,972

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Solution

The third proportional to 12,543,772 and 17,664,972 is: 24,876,985.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,543,772 : 17,664,972 = 17,664,972 : x
  2. Step 2: Convert to fraction form
    12,543,772/17,664,972 = 17,664,972/x
  3. Step 3: Cross multiply
    12,543,772x = 17,664,972 × 17,664,972
  4. Step 4: Simplify right side
    12,543,772x = 312,051,235,760,784
  5. Step 5: Solve for x
    x = 312,051,235,760,784/12,543,772
  6. Step 6: Final answer
    x = 24,876,985.63

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.