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Finding the Third Proportional to 6,181,808 and 13,461,888

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Solution

The third proportional to 6,181,808 and 13,461,888 is: 29,315,441.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,181,808 : 13,461,888 = 13,461,888 : x
  2. Step 2: Convert to fraction form
    6,181,808/13,461,888 = 13,461,888/x
  3. Step 3: Cross multiply
    6,181,808x = 13,461,888 × 13,461,888
  4. Step 4: Simplify right side
    6,181,808x = 181,222,428,524,544
  5. Step 5: Solve for x
    x = 181,222,428,524,544/6,181,808
  6. Step 6: Final answer
    x = 29,315,441.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.