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Finding the Third Proportional to 6,152,166 and 13,462,218

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Solution

The third proportional to 6,152,166 and 13,462,218 is: 29,458,131.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152,166 : 13,462,218 = 13,462,218 : x
  2. Step 2: Convert to fraction form
    6,152,166/13,462,218 = 13,462,218/x
  3. Step 3: Cross multiply
    6,152,166x = 13,462,218 × 13,462,218
  4. Step 4: Simplify right side
    6,152,166x = 181,231,313,479,524
  5. Step 5: Solve for x
    x = 181,231,313,479,524/6,152,166
  6. Step 6: Final answer
    x = 29,458,131.25

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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.