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Finding the Third Proportional to 11,471,742 and 24,966,536

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Solution

The third proportional to 11,471,742 and 24,966,536 is: 54,335,943.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471,742 : 24,966,536 = 24,966,536 : x
  2. Step 2: Convert to fraction form
    11,471,742/24,966,536 = 24,966,536/x
  3. Step 3: Cross multiply
    11,471,742x = 24,966,536 × 24,966,536
  4. Step 4: Simplify right side
    11,471,742x = 623,327,919,839,296
  5. Step 5: Solve for x
    x = 623,327,919,839,296/11,471,742
  6. Step 6: Final answer
    x = 54,335,943.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.