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Finding the Third Proportional to 2,622,786,597 and 4,282,321,074

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Solution

The third proportional to 2,622,786,597 and 4,282,321,074 is: 6,991,904,641.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,622,786,597 : 4,282,321,074 = 4,282,321,074 : x
  2. Step 2: Convert to fraction form
    2,622,786,597/4,282,321,074 = 4,282,321,074/x
  3. Step 3: Cross multiply
    2,622,786,597x = 4,282,321,074 × 4,282,321,074
  4. Step 4: Simplify right side
    2,622,786,597x = 18,338,273,780,824,512,512
  5. Step 5: Solve for x
    x = 18,338,273,780,824,512,512/2,622,786,597
  6. Step 6: Final answer
    x = 6,991,904,641.35

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.