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Finding the Third Proportional to 21,033,974 and 32,310,759

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Solution

The third proportional to 21,033,974 and 32,310,759 is: 49,633,281.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,033,974 : 32,310,759 = 32,310,759 : x
  2. Step 2: Convert to fraction form
    21,033,974/32,310,759 = 32,310,759/x
  3. Step 3: Cross multiply
    21,033,974x = 32,310,759 × 32,310,759
  4. Step 4: Simplify right side
    21,033,974x = 1,043,985,147,156,081
  5. Step 5: Solve for x
    x = 1,043,985,147,156,081/21,033,974
  6. Step 6: Final answer
    x = 49,633,281.24

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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.