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Finding the Third Proportional to 6,335,166 and 13,867,596

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Solution

The third proportional to 6,335,166 and 13,867,596 is: 30,355,987.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335,166 : 13,867,596 = 13,867,596 : x
  2. Step 2: Convert to fraction form
    6,335,166/13,867,596 = 13,867,596/x
  3. Step 3: Cross multiply
    6,335,166x = 13,867,596 × 13,867,596
  4. Step 4: Simplify right side
    6,335,166x = 192,310,218,819,216
  5. Step 5: Solve for x
    x = 192,310,218,819,216/6,335,166
  6. Step 6: Final answer
    x = 30,355,987.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.