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Finding the Third Proportional to 6,661,856 and 14,522,188

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Solution

The third proportional to 6,661,856 and 14,522,188 is: 31,656,935.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661,856 : 14,522,188 = 14,522,188 : x
  2. Step 2: Convert to fraction form
    6,661,856/14,522,188 = 14,522,188/x
  3. Step 3: Cross multiply
    6,661,856x = 14,522,188 × 14,522,188
  4. Step 4: Simplify right side
    6,661,856x = 210,893,944,307,344
  5. Step 5: Solve for x
    x = 210,893,944,307,344/6,661,856
  6. Step 6: Final answer
    x = 31,656,935.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.