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Finding the Third Proportional to 14,436,981 and 32,101,832.25

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Solution

The third proportional to 14,436,981 and 32,101,832.25 is: 71,381,103.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,436,981 : 32,101,832.25 = 32,101,832.25 : x
  2. Step 2: Convert to fraction form
    14,436,981/32,101,832.25 = 32,101,832.25/x
  3. Step 3: Cross multiply
    14,436,981x = 32,101,832.25 × 32,101,832.25
  4. Step 4: Simplify right side
    14,436,981x = 1,030,527,633,807,140
  5. Step 5: Solve for x
    x = 1,030,527,633,807,140/14,436,981
  6. Step 6: Final answer
    x = 71,381,103.42

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.