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Finding the Third Proportional to 775,827,463.50 and 1,162,606,311

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Solution

The third proportional to 775,827,463.50 and 1,162,606,311 is: 1,742,208,800.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,827,463.50 : 1,162,606,311 = 1,162,606,311 : x
  2. Step 2: Convert to fraction form
    775,827,463.50/1,162,606,311 = 1,162,606,311/x
  3. Step 3: Cross multiply
    775,827,463.50x = 1,162,606,311 × 1,162,606,311
  4. Step 4: Simplify right side
    775,827,463.50x = 1,351,653,434,377,028,608
  5. Step 5: Solve for x
    x = 1,351,653,434,377,028,608/775,827,463.50
  6. Step 6: Final answer
    x = 1,742,208,800.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.