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Finding the Third Proportional to 80,007,577 and 174,552,201

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Solution

The third proportional to 80,007,577 and 174,552,201 is: 380,819,817.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,007,577 : 174,552,201 = 174,552,201 : x
  2. Step 2: Convert to fraction form
    80,007,577/174,552,201 = 174,552,201/x
  3. Step 3: Cross multiply
    80,007,577x = 174,552,201 × 174,552,201
  4. Step 4: Simplify right side
    80,007,577x = 30,468,470,873,944,400
  5. Step 5: Solve for x
    x = 30,468,470,873,944,400/80,007,577
  6. Step 6: Final answer
    x = 380,819,817.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.