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Finding the Third Proportional to 14,675,500 and 22,234,866

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Solution

The third proportional to 14,675,500 and 22,234,866 is: 33,688,069.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,675,500 : 22,234,866 = 22,234,866 : x
  2. Step 2: Convert to fraction form
    14,675,500/22,234,866 = 22,234,866/x
  3. Step 3: Cross multiply
    14,675,500x = 22,234,866 × 22,234,866
  4. Step 4: Simplify right side
    14,675,500x = 494,389,266,037,956
  5. Step 5: Solve for x
    x = 494,389,266,037,956/14,675,500
  6. Step 6: Final answer
    x = 33,688,069.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.