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Finding the Third Proportional to 24,083,361 and 34,331,242.50

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Solution

The third proportional to 24,083,361 and 34,331,242.50 is: 48,939,772.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,083,361 : 34,331,242.50 = 34,331,242.50 : x
  2. Step 2: Convert to fraction form
    24,083,361/34,331,242.50 = 34,331,242.50/x
  3. Step 3: Cross multiply
    24,083,361x = 34,331,242.50 × 34,331,242.50
  4. Step 4: Simplify right side
    24,083,361x = 1,178,634,211,593,806.25
  5. Step 5: Solve for x
    x = 1,178,634,211,593,806.25/24,083,361
  6. Step 6: Final answer
    x = 48,939,772.63

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.