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Finding the Third Proportional to 5,202,093,744 and 7,925,098,224

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Solution

The third proportional to 5,202,093,744 and 7,925,098,224 is: 12,073,442,915.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202,093,744 : 7,925,098,224 = 7,925,098,224 : x
  2. Step 2: Convert to fraction form
    5,202,093,744/7,925,098,224 = 7,925,098,224/x
  3. Step 3: Cross multiply
    5,202,093,744x = 7,925,098,224 × 7,925,098,224
  4. Step 4: Simplify right side
    5,202,093,744x = 62,807,181,860,047,953,920
  5. Step 5: Solve for x
    x = 62,807,181,860,047,953,920/5,202,093,744
  6. Step 6: Final answer
    x = 12,073,442,915.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.