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Finding the Third Proportional to 1,843,695,984 and 4,055,138,760

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Solution

The third proportional to 1,843,695,984 and 4,055,138,760 is: 8,919,122,515.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843,695,984 : 4,055,138,760 = 4,055,138,760 : x
  2. Step 2: Convert to fraction form
    1,843,695,984/4,055,138,760 = 4,055,138,760/x
  3. Step 3: Cross multiply
    1,843,695,984x = 4,055,138,760 × 4,055,138,760
  4. Step 4: Simplify right side
    1,843,695,984x = 16,444,150,362,854,338,560
  5. Step 5: Solve for x
    x = 16,444,150,362,854,338,560/1,843,695,984
  6. Step 6: Final answer
    x = 8,919,122,515.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.