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Finding the Third Proportional to 30,940,066.13 and 65,568,369.38

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Solution

The third proportional to 30,940,066.13 and 65,568,369.38 is: 138,952,872.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,940,066.13 : 65,568,369.38 = 65,568,369.38 : x
  2. Step 2: Convert to fraction form
    30,940,066.13/65,568,369.38 = 65,568,369.38/x
  3. Step 3: Cross multiply
    30,940,066.13x = 65,568,369.38 × 65,568,369.38
  4. Step 4: Simplify right side
    30,940,066.13x = 4,299,211,062,496,438
  5. Step 5: Solve for x
    x = 4,299,211,062,496,438/30,940,066.13
  6. Step 6: Final answer
    x = 138,952,872.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.