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Finding the Third Proportional to 35,815,612 and 76,741,433

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Solution

The third proportional to 35,815,612 and 76,741,433 is: 164,432,413.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,815,612 : 76,741,433 = 76,741,433 : x
  2. Step 2: Convert to fraction form
    35,815,612/76,741,433 = 76,741,433/x
  3. Step 3: Cross multiply
    35,815,612x = 76,741,433 × 76,741,433
  4. Step 4: Simplify right side
    35,815,612x = 5,889,247,538,893,489
  5. Step 5: Solve for x
    x = 5,889,247,538,893,489/35,815,612
  6. Step 6: Final answer
    x = 164,432,413.97

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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.