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Finding the Third Proportional to 24,189,224.06 and 52,226,474.63

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Solution

The third proportional to 24,189,224.06 and 52,226,474.63 is: 112,761,147.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,189,224.06 : 52,226,474.63 = 52,226,474.63 : x
  2. Step 2: Convert to fraction form
    24,189,224.06/52,226,474.63 = 52,226,474.63/x
  3. Step 3: Cross multiply
    24,189,224.06x = 52,226,474.63 × 52,226,474.63
  4. Step 4: Simplify right side
    24,189,224.06x = 2,727,604,651,755,769
  5. Step 5: Solve for x
    x = 2,727,604,651,755,769/24,189,224.06
  6. Step 6: Final answer
    x = 112,761,147.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.