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Finding the Third Proportional to 10,972,642.50 and 24,117,255

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Solution

The third proportional to 10,972,642.50 and 24,117,255 is: 53,008,378.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,972,642.50 : 24,117,255 = 24,117,255 : x
  2. Step 2: Convert to fraction form
    10,972,642.50/24,117,255 = 24,117,255/x
  3. Step 3: Cross multiply
    10,972,642.50x = 24,117,255 × 24,117,255
  4. Step 4: Simplify right side
    10,972,642.50x = 581,641,988,735,025
  5. Step 5: Solve for x
    x = 581,641,988,735,025/10,972,642.50
  6. Step 6: Final answer
    x = 53,008,378.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.