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Finding the Third Proportional to 34,354,433.81 and 71,100,352.13

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Solution

The third proportional to 34,354,433.81 and 71,100,352.13 is: 147,150,149.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,354,433.81 : 71,100,352.13 = 71,100,352.13 : x
  2. Step 2: Convert to fraction form
    34,354,433.81/71,100,352.13 = 71,100,352.13/x
  3. Step 3: Cross multiply
    34,354,433.81x = 71,100,352.13 × 71,100,352.13
  4. Step 4: Simplify right side
    34,354,433.81x = 5,055,260,072,298,992
  5. Step 5: Solve for x
    x = 5,055,260,072,298,992/34,354,433.81
  6. Step 6: Final answer
    x = 147,150,149.52

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.