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Finding the Third Proportional to 12,464,607.38 and 19,147,163.06

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Solution

The third proportional to 12,464,607.38 and 19,147,163.06 is: 29,412,386.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464,607.38 : 19,147,163.06 = 19,147,163.06 : x
  2. Step 2: Convert to fraction form
    12,464,607.38/19,147,163.06 = 19,147,163.06/x
  3. Step 3: Cross multiply
    12,464,607.38x = 19,147,163.06 × 19,147,163.06
  4. Step 4: Simplify right side
    12,464,607.38x = 366,613,853,341,964.38
  5. Step 5: Solve for x
    x = 366,613,853,341,964.38/12,464,607.38
  6. Step 6: Final answer
    x = 29,412,386.79

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.