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Finding the Third Proportional to 24,705,972.75 and 35,641,621.13

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Solution

The third proportional to 24,705,972.75 and 35,641,621.13 is: 51,417,734.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,705,972.75 : 35,641,621.13 = 35,641,621.13 : x
  2. Step 2: Convert to fraction form
    24,705,972.75/35,641,621.13 = 35,641,621.13/x
  3. Step 3: Cross multiply
    24,705,972.75x = 35,641,621.13 × 35,641,621.13
  4. Step 4: Simplify right side
    24,705,972.75x = 1,270,325,156,418,046.25
  5. Step 5: Solve for x
    x = 1,270,325,156,418,046.25/24,705,972.75
  6. Step 6: Final answer
    x = 51,417,734.86

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.