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Finding the Third Proportional to 7,452,693 and 15,967,782

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Solution

The third proportional to 7,452,693 and 15,967,782 is: 34,211,802.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,452,693 : 15,967,782 = 15,967,782 : x
  2. Step 2: Convert to fraction form
    7,452,693/15,967,782 = 15,967,782/x
  3. Step 3: Cross multiply
    7,452,693x = 15,967,782 × 15,967,782
  4. Step 4: Simplify right side
    7,452,693x = 254,970,061,999,524
  5. Step 5: Solve for x
    x = 254,970,061,999,524/7,452,693
  6. Step 6: Final answer
    x = 34,211,802.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.