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Finding the Third Proportional to 6,325,534,860 and 9,255,454,212

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Solution

The third proportional to 6,325,534,860 and 9,255,454,212 is: 13,542,480,527.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,325,534,860 : 9,255,454,212 = 9,255,454,212 : x
  2. Step 2: Convert to fraction form
    6,325,534,860/9,255,454,212 = 9,255,454,212/x
  3. Step 3: Cross multiply
    6,325,534,860x = 9,255,454,212 × 9,255,454,212
  4. Step 4: Simplify right side
    6,325,534,860x = 85,663,432,670,428,545,024
  5. Step 5: Solve for x
    x = 85,663,432,670,428,545,024/6,325,534,860
  6. Step 6: Final answer
    x = 13,542,480,527.95

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.