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Finding the Third Proportional to 34,743,834.75 and 74,872,650

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Solution

The third proportional to 34,743,834.75 and 74,872,650 is: 161,349,884.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,743,834.75 : 74,872,650 = 74,872,650 : x
  2. Step 2: Convert to fraction form
    34,743,834.75/74,872,650 = 74,872,650/x
  3. Step 3: Cross multiply
    34,743,834.75x = 74,872,650 × 74,872,650
  4. Step 4: Simplify right side
    34,743,834.75x = 5,605,913,718,022,500
  5. Step 5: Solve for x
    x = 5,605,913,718,022,500/34,743,834.75
  6. Step 6: Final answer
    x = 161,349,884.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.