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Finding the Third Proportional to 1,059,417,891 and 2,280,747,041

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Solution

The third proportional to 1,059,417,891 and 2,280,747,041 is: 4,910,061,562.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059,417,891 : 2,280,747,041 = 2,280,747,041 : x
  2. Step 2: Convert to fraction form
    1,059,417,891/2,280,747,041 = 2,280,747,041/x
  3. Step 3: Cross multiply
    1,059,417,891x = 2,280,747,041 × 2,280,747,041
  4. Step 4: Simplify right side
    1,059,417,891x = 5,201,807,065,030,255,616
  5. Step 5: Solve for x
    x = 5,201,807,065,030,255,616/1,059,417,891
  6. Step 6: Final answer
    x = 4,910,061,562.32

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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.