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Finding the Third Proportional to 7,841,736 and 16,986,239

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Solution

The third proportional to 7,841,736 and 16,986,239 is: 36,794,443.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841,736 : 16,986,239 = 16,986,239 : x
  2. Step 2: Convert to fraction form
    7,841,736/16,986,239 = 16,986,239/x
  3. Step 3: Cross multiply
    7,841,736x = 16,986,239 × 16,986,239
  4. Step 4: Simplify right side
    7,841,736x = 288,532,315,365,121
  5. Step 5: Solve for x
    x = 288,532,315,365,121/7,841,736
  6. Step 6: Final answer
    x = 36,794,443.90

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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.