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Finding the Third Proportional to 2,159,062,580 and 3,317,161,029

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Solution

The third proportional to 2,159,062,580 and 3,317,161,029 is: 5,096,451,299.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159,062,580 : 3,317,161,029 = 3,317,161,029 : x
  2. Step 2: Convert to fraction form
    2,159,062,580/3,317,161,029 = 3,317,161,029/x
  3. Step 3: Cross multiply
    2,159,062,580x = 3,317,161,029 × 3,317,161,029
  4. Step 4: Simplify right side
    2,159,062,580x = 11,003,557,292,316,338,176
  5. Step 5: Solve for x
    x = 11,003,557,292,316,338,176/2,159,062,580
  6. Step 6: Final answer
    x = 5,096,451,299.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.