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Finding the Third Proportional to 644,614,240 and 1,381,123,172

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Solution

The third proportional to 644,614,240 and 1,381,123,172 is: 2,959,136,019.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,614,240 : 1,381,123,172 = 1,381,123,172 : x
  2. Step 2: Convert to fraction form
    644,614,240/1,381,123,172 = 1,381,123,172/x
  3. Step 3: Cross multiply
    644,614,240x = 1,381,123,172 × 1,381,123,172
  4. Step 4: Simplify right side
    644,614,240x = 1,907,501,216,235,341,568
  5. Step 5: Solve for x
    x = 1,907,501,216,235,341,568/644,614,240
  6. Step 6: Final answer
    x = 2,959,136,019.45

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.