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Finding the Third Proportional to 3,149,189,522.25 and 6,765,728,915.25

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Solution

The third proportional to 3,149,189,522.25 and 6,765,728,915.25 is: 14,535,513,798.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149,189,522.25 : 6,765,728,915.25 = 6,765,728,915.25 : x
  2. Step 2: Convert to fraction form
    3,149,189,522.25/6,765,728,915.25 = 6,765,728,915.25/x
  3. Step 3: Cross multiply
    3,149,189,522.25x = 6,765,728,915.25 × 6,765,728,915.25
  4. Step 4: Simplify right side
    3,149,189,522.25x = 45,775,087,754,649,944,064
  5. Step 5: Solve for x
    x = 45,775,087,754,649,944,064/3,149,189,522.25
  6. Step 6: Final answer
    x = 14,535,513,798.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.