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Finding the Third Proportional to 12,567,034,656 and 18,741,572,133.75

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Solution

The third proportional to 12,567,034,656 and 18,741,572,133.75 is: 27,949,833,485.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,567,034,656 : 18,741,572,133.75 = 18,741,572,133.75 : x
  2. Step 2: Convert to fraction form
    12,567,034,656/18,741,572,133.75 = 18,741,572,133.75/x
  3. Step 3: Cross multiply
    12,567,034,656x = 18,741,572,133.75 × 18,741,572,133.75
  4. Step 4: Simplify right side
    12,567,034,656x = 351,246,526,044,554,526,720
  5. Step 5: Solve for x
    x = 351,246,526,044,554,526,720/12,567,034,656
  6. Step 6: Final answer
    x = 27,949,833,485.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.