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Finding the Third Proportional to 6,521,940 and 14,167,656

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Solution

The third proportional to 6,521,940 and 14,167,656 is: 30,776,498.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,521,940 : 14,167,656 = 14,167,656 : x
  2. Step 2: Convert to fraction form
    6,521,940/14,167,656 = 14,167,656/x
  3. Step 3: Cross multiply
    6,521,940x = 14,167,656 × 14,167,656
  4. Step 4: Simplify right side
    6,521,940x = 200,722,476,534,336
  5. Step 5: Solve for x
    x = 200,722,476,534,336/6,521,940
  6. Step 6: Final answer
    x = 30,776,498.49

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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.