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Finding the Third Proportional to 7,841,882 and 16,986,532

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Solution

The third proportional to 7,841,882 and 16,986,532 is: 36,795,028.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841,882 : 16,986,532 = 16,986,532 : x
  2. Step 2: Convert to fraction form
    7,841,882/16,986,532 = 16,986,532/x
  3. Step 3: Cross multiply
    7,841,882x = 16,986,532 × 16,986,532
  4. Step 4: Simplify right side
    7,841,882x = 288,542,269,387,024
  5. Step 5: Solve for x
    x = 288,542,269,387,024/7,841,882
  6. Step 6: Final answer
    x = 36,795,028.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.