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Finding the Third Proportional to 27,247,734 and 45,411,074

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Solution

The third proportional to 27,247,734 and 45,411,074 is: 75,682,096.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,247,734 : 45,411,074 = 45,411,074 : x
  2. Step 2: Convert to fraction form
    27,247,734/45,411,074 = 45,411,074/x
  3. Step 3: Cross multiply
    27,247,734x = 45,411,074 × 45,411,074
  4. Step 4: Simplify right side
    27,247,734x = 2,062,165,641,833,476
  5. Step 5: Solve for x
    x = 2,062,165,641,833,476/27,247,734
  6. Step 6: Final answer
    x = 75,682,096.79

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.