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Finding the Third Proportional to 6,576,972,813 and 15,520,478,672.25

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Solution

The third proportional to 6,576,972,813 and 15,520,478,672.25 is: 36,625,551,764.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576,972,813 : 15,520,478,672.25 = 15,520,478,672.25 : x
  2. Step 2: Convert to fraction form
    6,576,972,813/15,520,478,672.25 = 15,520,478,672.25/x
  3. Step 3: Cross multiply
    6,576,972,813x = 15,520,478,672.25 × 15,520,478,672.25
  4. Step 4: Simplify right side
    6,576,972,813x = 240,885,258,215,767,113,728
  5. Step 5: Solve for x
    x = 240,885,258,215,767,113,728/6,576,972,813
  6. Step 6: Final answer
    x = 36,625,551,764.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.