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Finding the Third Proportional to 47,487,741 and 70,952,067.75

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Solution

The third proportional to 47,487,741 and 70,952,067.75 is: 106,010,431.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,487,741 : 70,952,067.75 = 70,952,067.75 : x
  2. Step 2: Convert to fraction form
    47,487,741/70,952,067.75 = 70,952,067.75/x
  3. Step 3: Cross multiply
    47,487,741x = 70,952,067.75 × 70,952,067.75
  4. Step 4: Simplify right side
    47,487,741x = 5,034,195,918,000,590
  5. Step 5: Solve for x
    x = 5,034,195,918,000,590/47,487,741
  6. Step 6: Final answer
    x = 106,010,431.58

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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.