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Finding the Third Proportional to 20,993,942 and 31,381,617

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Solution

The third proportional to 20,993,942 and 31,381,617 is: 46,909,050.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,993,942 : 31,381,617 = 31,381,617 : x
  2. Step 2: Convert to fraction form
    20,993,942/31,381,617 = 31,381,617/x
  3. Step 3: Cross multiply
    20,993,942x = 31,381,617 × 31,381,617
  4. Step 4: Simplify right side
    20,993,942x = 984,805,885,534,689
  5. Step 5: Solve for x
    x = 984,805,885,534,689/20,993,942
  6. Step 6: Final answer
    x = 46,909,050.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.