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Finding the Third Proportional to 644,614,232 and 1,381,123,156

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Solution

The third proportional to 644,614,232 and 1,381,123,156 is: 2,959,135,987.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,614,232 : 1,381,123,156 = 1,381,123,156 : x
  2. Step 2: Convert to fraction form
    644,614,232/1,381,123,156 = 1,381,123,156/x
  3. Step 3: Cross multiply
    644,614,232x = 1,381,123,156 × 1,381,123,156
  4. Step 4: Simplify right side
    644,614,232x = 1,907,501,172,039,400,448
  5. Step 5: Solve for x
    x = 1,907,501,172,039,400,448/644,614,232
  6. Step 6: Final answer
    x = 2,959,135,987.61

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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.