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Finding the Third Proportional to 7,851,073 and 11,729,554

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Solution

The third proportional to 7,851,073 and 11,729,554 is: 17,524,029.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851,073 : 11,729,554 = 11,729,554 : x
  2. Step 2: Convert to fraction form
    7,851,073/11,729,554 = 11,729,554/x
  3. Step 3: Cross multiply
    7,851,073x = 11,729,554 × 11,729,554
  4. Step 4: Simplify right side
    7,851,073x = 137,582,437,038,916
  5. Step 5: Solve for x
    x = 137,582,437,038,916/7,851,073
  6. Step 6: Final answer
    x = 17,524,029.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.