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Finding the Third Proportional to 1,191,846,451 and 2,565,844,190

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Solution

The third proportional to 1,191,846,451 and 2,565,844,190 is: 5,523,829,350.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191,846,451 : 2,565,844,190 = 2,565,844,190 : x
  2. Step 2: Convert to fraction form
    1,191,846,451/2,565,844,190 = 2,565,844,190/x
  3. Step 3: Cross multiply
    1,191,846,451x = 2,565,844,190 × 2,565,844,190
  4. Step 4: Simplify right side
    1,191,846,451x = 6,583,556,407,356,755,968
  5. Step 5: Solve for x
    x = 6,583,556,407,356,755,968/1,191,846,451
  6. Step 6: Final answer
    x = 5,523,829,350.53

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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.