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Finding the Third Proportional to 24,843,234.75 and 54,292,291.50

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Solution

The third proportional to 24,843,234.75 and 54,292,291.50 is: 118,650,125.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,843,234.75 : 54,292,291.50 = 54,292,291.50 : x
  2. Step 2: Convert to fraction form
    24,843,234.75/54,292,291.50 = 54,292,291.50/x
  3. Step 3: Cross multiply
    24,843,234.75x = 54,292,291.50 × 54,292,291.50
  4. Step 4: Simplify right side
    24,843,234.75x = 2,947,652,916,320,972
  5. Step 5: Solve for x
    x = 2,947,652,916,320,972/24,843,234.75
  6. Step 6: Final answer
    x = 118,650,125.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.