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Finding the Third Proportional to 1,137,283,956 and 1,747,311,102

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Solution

The third proportional to 1,137,283,956 and 1,747,311,102 is: 2,684,550,389.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137,283,956 : 1,747,311,102 = 1,747,311,102 : x
  2. Step 2: Convert to fraction form
    1,137,283,956/1,747,311,102 = 1,747,311,102/x
  3. Step 3: Cross multiply
    1,137,283,956x = 1,747,311,102 × 1,747,311,102
  4. Step 4: Simplify right side
    1,137,283,956x = 3,053,096,087,172,454,400
  5. Step 5: Solve for x
    x = 3,053,096,087,172,454,400/1,137,283,956
  6. Step 6: Final answer
    x = 2,684,550,389.61

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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.