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Finding the Third Proportional to 24,660,670.50 and 52,957,410.75

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Solution

The third proportional to 24,660,670.50 and 52,957,410.75 is: 113,723,077.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,660,670.50 : 52,957,410.75 = 52,957,410.75 : x
  2. Step 2: Convert to fraction form
    24,660,670.50/52,957,410.75 = 52,957,410.75/x
  3. Step 3: Cross multiply
    24,660,670.50x = 52,957,410.75 × 52,957,410.75
  4. Step 4: Simplify right side
    24,660,670.50x = 2,804,487,353,344,215.50
  5. Step 5: Solve for x
    x = 2,804,487,353,344,215.50/24,660,670.50
  6. Step 6: Final answer
    x = 113,723,077.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.