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Finding the Third Proportional to 1,318,959,902,414 and 2,856,934,645,663

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Solution

The third proportional to 1,318,959,902,414 and 2,856,934,645,663 is: 6,188,266,644,536.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318,959,902,414 : 2,856,934,645,663 = 2,856,934,645,663 : x
  2. Step 2: Convert to fraction form
    1,318,959,902,414/2,856,934,645,663 = 2,856,934,645,663/x
  3. Step 3: Cross multiply
    1,318,959,902,414x = 2,856,934,645,663 × 2,856,934,645,663
  4. Step 4: Simplify right side
    1,318,959,902,414x = 8,162,075,569,589,571,490,414,592
  5. Step 5: Solve for x
    x = 8,162,075,569,589,571,490,414,592/1,318,959,902,414
  6. Step 6: Final answer
    x = 6,188,266,644,536.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.