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Finding the Third Proportional to 33,702,449.25 and 72,596,289.75

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Solution

The third proportional to 33,702,449.25 and 72,596,289.75 is: 156,375,023.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,702,449.25 : 72,596,289.75 = 72,596,289.75 : x
  2. Step 2: Convert to fraction form
    33,702,449.25/72,596,289.75 = 72,596,289.75/x
  3. Step 3: Cross multiply
    33,702,449.25x = 72,596,289.75 × 72,596,289.75
  4. Step 4: Simplify right side
    33,702,449.25x = 5,270,221,285,465,955
  5. Step 5: Solve for x
    x = 5,270,221,285,465,955/33,702,449.25
  6. Step 6: Final answer
    x = 156,375,023.26

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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.