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Finding the Third Proportional to 3,986,829 and 8,540,118

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Solution

The third proportional to 3,986,829 and 8,540,118 is: 18,293,640.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986,829 : 8,540,118 = 8,540,118 : x
  2. Step 2: Convert to fraction form
    3,986,829/8,540,118 = 8,540,118/x
  3. Step 3: Cross multiply
    3,986,829x = 8,540,118 × 8,540,118
  4. Step 4: Simplify right side
    3,986,829x = 72,933,615,453,924
  5. Step 5: Solve for x
    x = 72,933,615,453,924/3,986,829
  6. Step 6: Final answer
    x = 18,293,640.25

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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.