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Finding the Third Proportional to 1,212,318,414 and 2,618,632,422

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Solution

The third proportional to 1,212,318,414 and 2,618,632,422 is: 5,656,299,271.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212,318,414 : 2,618,632,422 = 2,618,632,422 : x
  2. Step 2: Convert to fraction form
    1,212,318,414/2,618,632,422 = 2,618,632,422/x
  3. Step 3: Cross multiply
    1,212,318,414x = 2,618,632,422 × 2,618,632,422
  4. Step 4: Simplify right side
    1,212,318,414x = 6,857,235,761,549,586,432
  5. Step 5: Solve for x
    x = 6,857,235,761,549,586,432/1,212,318,414
  6. Step 6: Final answer
    x = 5,656,299,271.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.