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Finding the Third Proportional to 40,966,077 and 87,775,401.75

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Solution

The third proportional to 40,966,077 and 87,775,401.75 is: 188,070,757.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,966,077 : 87,775,401.75 = 87,775,401.75 : x
  2. Step 2: Convert to fraction form
    40,966,077/87,775,401.75 = 87,775,401.75/x
  3. Step 3: Cross multiply
    40,966,077x = 87,775,401.75 × 87,775,401.75
  4. Step 4: Simplify right side
    40,966,077x = 7,704,521,152,373,903
  5. Step 5: Solve for x
    x = 7,704,521,152,373,903/40,966,077
  6. Step 6: Final answer
    x = 188,070,757.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.