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Finding the Third Proportional to 7,841,840 and 16,986,448

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Solution

The third proportional to 7,841,840 and 16,986,448 is: 36,794,861.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841,840 : 16,986,448 = 16,986,448 : x
  2. Step 2: Convert to fraction form
    7,841,840/16,986,448 = 16,986,448/x
  3. Step 3: Cross multiply
    7,841,840x = 16,986,448 × 16,986,448
  4. Step 4: Simplify right side
    7,841,840x = 288,539,415,656,704
  5. Step 5: Solve for x
    x = 288,539,415,656,704/7,841,840
  6. Step 6: Final answer
    x = 36,794,861.37

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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.