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Finding the Third Proportional to 3,207,693 and 6,642,743

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Solution

The third proportional to 3,207,693 and 6,642,743 is: 13,756,314.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207,693 : 6,642,743 = 6,642,743 : x
  2. Step 2: Convert to fraction form
    3,207,693/6,642,743 = 6,642,743/x
  3. Step 3: Cross multiply
    3,207,693x = 6,642,743 × 6,642,743
  4. Step 4: Simplify right side
    3,207,693x = 44,126,034,564,049
  5. Step 5: Solve for x
    x = 44,126,034,564,049/3,207,693
  6. Step 6: Final answer
    x = 13,756,314.76

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.