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Finding the Third Proportional to 5,046,942 and 7,568,559

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Solution

The third proportional to 5,046,942 and 7,568,559 is: 11,350,058.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046,942 : 7,568,559 = 7,568,559 : x
  2. Step 2: Convert to fraction form
    5,046,942/7,568,559 = 7,568,559/x
  3. Step 3: Cross multiply
    5,046,942x = 7,568,559 × 7,568,559
  4. Step 4: Simplify right side
    5,046,942x = 57,283,085,336,481
  5. Step 5: Solve for x
    x = 57,283,085,336,481/5,046,942
  6. Step 6: Final answer
    x = 11,350,058.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.