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Finding the Third Proportional to 5,961,662.65 and 12,913,729.38

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Solution

The third proportional to 5,961,662.65 and 12,913,729.38 is: 27,972,801.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,961,662.65 : 12,913,729.38 = 12,913,729.38 : x
  2. Step 2: Convert to fraction form
    5,961,662.65/12,913,729.38 = 12,913,729.38/x
  3. Step 3: Cross multiply
    5,961,662.65x = 12,913,729.38 × 12,913,729.38
  4. Step 4: Simplify right side
    5,961,662.65x = 166,764,406,572,502.03
  5. Step 5: Solve for x
    x = 166,764,406,572,502.03/5,961,662.65
  6. Step 6: Final answer
    x = 27,972,801.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.