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Finding the Third Proportional to 26,019,338,002 and 35,106,195,695

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Solution

The third proportional to 26,019,338,002 and 35,106,195,695 is: 47,366,500,103.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,019,338,002 : 35,106,195,695 = 35,106,195,695 : x
  2. Step 2: Convert to fraction form
    26,019,338,002/35,106,195,695 = 35,106,195,695/x
  3. Step 3: Cross multiply
    26,019,338,002x = 35,106,195,695 × 35,106,195,695
  4. Step 4: Simplify right side
    26,019,338,002x = 1,232,444,976,175,636,545,536
  5. Step 5: Solve for x
    x = 1,232,444,976,175,636,545,536/26,019,338,002
  6. Step 6: Final answer
    x = 47,366,500,103.92

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.