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Finding the Third Proportional to 1,992,153,744 and 2,977,250,775.75

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Solution

The third proportional to 1,992,153,744 and 2,977,250,775.75 is: 4,449,466,919.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992,153,744 : 2,977,250,775.75 = 2,977,250,775.75 : x
  2. Step 2: Convert to fraction form
    1,992,153,744/2,977,250,775.75 = 2,977,250,775.75/x
  3. Step 3: Cross multiply
    1,992,153,744x = 2,977,250,775.75 × 2,977,250,775.75
  4. Step 4: Simplify right side
    1,992,153,744x = 8,864,022,181,703,976,960
  5. Step 5: Solve for x
    x = 8,864,022,181,703,976,960/1,992,153,744
  6. Step 6: Final answer
    x = 4,449,466,919.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.