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Finding the Third Proportional to 4,424,336,700.75 and 9,479,744,138.25

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Solution

The third proportional to 4,424,336,700.75 and 9,479,744,138.25 is: 20,311,643,304.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,424,336,700.75 : 9,479,744,138.25 = 9,479,744,138.25 : x
  2. Step 2: Convert to fraction form
    4,424,336,700.75/9,479,744,138.25 = 9,479,744,138.25/x
  3. Step 3: Cross multiply
    4,424,336,700.75x = 9,479,744,138.25 × 9,479,744,138.25
  4. Step 4: Simplify right side
    4,424,336,700.75x = 89,865,548,926,685,233,152
  5. Step 5: Solve for x
    x = 89,865,548,926,685,233,152/4,424,336,700.75
  6. Step 6: Final answer
    x = 20,311,643,304.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.