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Finding the Third Proportional to 6,214,338 and 13,292,216

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Solution

The third proportional to 6,214,338 and 13,292,216 is: 28,431,508.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214,338 : 13,292,216 = 13,292,216 : x
  2. Step 2: Convert to fraction form
    6,214,338/13,292,216 = 13,292,216/x
  3. Step 3: Cross multiply
    6,214,338x = 13,292,216 × 13,292,216
  4. Step 4: Simplify right side
    6,214,338x = 176,683,006,190,656
  5. Step 5: Solve for x
    x = 176,683,006,190,656/6,214,338
  6. Step 6: Final answer
    x = 28,431,508.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.