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Finding the Third Proportional to 1,137,283,982 and 1,747,311,143

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Solution

The third proportional to 1,137,283,982 and 1,747,311,143 is: 2,684,550,454.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137,283,982 : 1,747,311,143 = 1,747,311,143 : x
  2. Step 2: Convert to fraction form
    1,137,283,982/1,747,311,143 = 1,747,311,143/x
  3. Step 3: Cross multiply
    1,137,283,982x = 1,747,311,143 × 1,747,311,143
  4. Step 4: Simplify right side
    1,137,283,982x = 3,053,096,230,451,966,464
  5. Step 5: Solve for x
    x = 3,053,096,230,451,966,464/1,137,283,982
  6. Step 6: Final answer
    x = 2,684,550,454.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.