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Finding the Third Proportional to 7,244,971,321.50 and 15,653,198,466

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Solution

The third proportional to 7,244,971,321.50 and 15,653,198,466 is: 33,819,681,451.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,244,971,321.50 : 15,653,198,466 = 15,653,198,466 : x
  2. Step 2: Convert to fraction form
    7,244,971,321.50/15,653,198,466 = 15,653,198,466/x
  3. Step 3: Cross multiply
    7,244,971,321.50x = 15,653,198,466 × 15,653,198,466
  4. Step 4: Simplify right side
    7,244,971,321.50x = 245,022,622,215,984,742,400
  5. Step 5: Solve for x
    x = 245,022,622,215,984,742,400/7,244,971,321.50
  6. Step 6: Final answer
    x = 33,819,681,451.17

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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.