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Finding the Third Proportional to 3,428,699,856 and 7,441,906,080

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Solution

The third proportional to 3,428,699,856 and 7,441,906,080 is: 16,152,468,407.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428,699,856 : 7,441,906,080 = 7,441,906,080 : x
  2. Step 2: Convert to fraction form
    3,428,699,856/7,441,906,080 = 7,441,906,080/x
  3. Step 3: Cross multiply
    3,428,699,856x = 7,441,906,080 × 7,441,906,080
  4. Step 4: Simplify right side
    3,428,699,856x = 55,381,966,103,540,965,376
  5. Step 5: Solve for x
    x = 55,381,966,103,540,965,376/3,428,699,856
  6. Step 6: Final answer
    x = 16,152,468,407.70

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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.