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Finding the Third Proportional to 7,986,964 and 17,230,360

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Solution

The third proportional to 7,986,964 and 17,230,360 is: 37,171,233.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,986,964 : 17,230,360 = 17,230,360 : x
  2. Step 2: Convert to fraction form
    7,986,964/17,230,360 = 17,230,360/x
  3. Step 3: Cross multiply
    7,986,964x = 17,230,360 × 17,230,360
  4. Step 4: Simplify right side
    7,986,964x = 296,885,305,729,600
  5. Step 5: Solve for x
    x = 296,885,305,729,600/7,986,964
  6. Step 6: Final answer
    x = 37,171,233.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.