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Finding the Third Proportional to 24,782,227.31 and 34,837,219.69

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Solution

The third proportional to 24,782,227.31 and 34,837,219.69 is: 48,971,864.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,782,227.31 : 34,837,219.69 = 34,837,219.69 : x
  2. Step 2: Convert to fraction form
    24,782,227.31/34,837,219.69 = 34,837,219.69/x
  3. Step 3: Cross multiply
    24,782,227.31x = 34,837,219.69 × 34,837,219.69
  4. Step 4: Simplify right side
    24,782,227.31x = 1,213,631,875,555,137.50
  5. Step 5: Solve for x
    x = 1,213,631,875,555,137.50/24,782,227.31
  6. Step 6: Final answer
    x = 48,971,864.40

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.