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Finding the Third Proportional to 2,159,062,596 and 3,317,161,050

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Solution

The third proportional to 2,159,062,596 and 3,317,161,050 is: 5,096,451,326.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159,062,596 : 3,317,161,050 = 3,317,161,050 : x
  2. Step 2: Convert to fraction form
    2,159,062,596/3,317,161,050 = 3,317,161,050/x
  3. Step 3: Cross multiply
    2,159,062,596x = 3,317,161,050 × 3,317,161,050
  4. Step 4: Simplify right side
    2,159,062,596x = 11,003,557,431,637,102,592
  5. Step 5: Solve for x
    x = 11,003,557,431,637,102,592/2,159,062,596
  6. Step 6: Final answer
    x = 5,096,451,326.62

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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.