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Finding the Third Proportional to 876,268,757.81 and 1,252,982,932.59

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Solution

The third proportional to 876,268,757.81 and 1,252,982,932.59 is: 1,791,649,211.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,268,757.81 : 1,252,982,932.59 = 1,252,982,932.59 : x
  2. Step 2: Convert to fraction form
    876,268,757.81/1,252,982,932.59 = 1,252,982,932.59/x
  3. Step 3: Cross multiply
    876,268,757.81x = 1,252,982,932.59 × 1,252,982,932.59
  4. Step 4: Simplify right side
    876,268,757.81x = 1,569,966,229,371,359,232
  5. Step 5: Solve for x
    x = 1,569,966,229,371,359,232/876,268,757.81
  6. Step 6: Final answer
    x = 1,791,649,211.93

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.