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Finding the Third Proportional to 10,166,964.50 and 22,351,490

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Solution

The third proportional to 10,166,964.50 and 22,351,490 is: 49,138,472.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,166,964.50 : 22,351,490 = 22,351,490 : x
  2. Step 2: Convert to fraction form
    10,166,964.50/22,351,490 = 22,351,490/x
  3. Step 3: Cross multiply
    10,166,964.50x = 22,351,490 × 22,351,490
  4. Step 4: Simplify right side
    10,166,964.50x = 499,589,105,220,100
  5. Step 5: Solve for x
    x = 499,589,105,220,100/10,166,964.50
  6. Step 6: Final answer
    x = 49,138,472.47

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.