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Finding the Third Proportional to 35,287,791.75 and 76,438,034.44

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Solution

The third proportional to 35,287,791.75 and 76,438,034.44 is: 165,574,914.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,287,791.75 : 76,438,034.44 = 76,438,034.44 : x
  2. Step 2: Convert to fraction form
    35,287,791.75/76,438,034.44 = 76,438,034.44/x
  3. Step 3: Cross multiply
    35,287,791.75x = 76,438,034.44 × 76,438,034.44
  4. Step 4: Simplify right side
    35,287,791.75x = 5,842,773,108,668,436
  5. Step 5: Solve for x
    x = 5,842,773,108,668,436/35,287,791.75
  6. Step 6: Final answer
    x = 165,574,914.69

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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.