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Finding the Third Proportional to 6,367,696 and 9,799,302

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Solution

The third proportional to 6,367,696 and 9,799,302 is: 15,080,229.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367,696 : 9,799,302 = 9,799,302 : x
  2. Step 2: Convert to fraction form
    6,367,696/9,799,302 = 9,799,302/x
  3. Step 3: Cross multiply
    6,367,696x = 9,799,302 × 9,799,302
  4. Step 4: Simplify right side
    6,367,696x = 96,026,319,687,204
  5. Step 5: Solve for x
    x = 96,026,319,687,204/6,367,696
  6. Step 6: Final answer
    x = 15,080,229.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.