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Finding the Third Proportional to 658,964,511 and 1,444,530,078

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Solution

The third proportional to 658,964,511 and 1,444,530,078 is: 3,166,585,015.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,964,511 : 1,444,530,078 = 1,444,530,078 : x
  2. Step 2: Convert to fraction form
    658,964,511/1,444,530,078 = 1,444,530,078/x
  3. Step 3: Cross multiply
    658,964,511x = 1,444,530,078 × 1,444,530,078
  4. Step 4: Simplify right side
    658,964,511x = 2,086,667,146,246,686,208
  5. Step 5: Solve for x
    x = 2,086,667,146,246,686,208/658,964,511
  6. Step 6: Final answer
    x = 3,166,585,015.45

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.