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Finding the Third Proportional to 740,221,103 and 1,645,945,083

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Solution

The third proportional to 740,221,103 and 1,645,945,083 is: 3,659,900,001.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,221,103 : 1,645,945,083 = 1,645,945,083 : x
  2. Step 2: Convert to fraction form
    740,221,103/1,645,945,083 = 1,645,945,083/x
  3. Step 3: Cross multiply
    740,221,103x = 1,645,945,083 × 1,645,945,083
  4. Step 4: Simplify right side
    740,221,103x = 2,709,135,216,251,876,864
  5. Step 5: Solve for x
    x = 2,709,135,216,251,876,864/740,221,103
  6. Step 6: Final answer
    x = 3,659,900,001.87

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.