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Finding the Third Proportional to 4,432,423.50 and 9,705,591

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Solution

The third proportional to 4,432,423.50 and 9,705,591 is: 21,252,142.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,432,423.50 : 9,705,591 = 9,705,591 : x
  2. Step 2: Convert to fraction form
    4,432,423.50/9,705,591 = 9,705,591/x
  3. Step 3: Cross multiply
    4,432,423.50x = 9,705,591 × 9,705,591
  4. Step 4: Simplify right side
    4,432,423.50x = 94,198,496,659,281
  5. Step 5: Solve for x
    x = 94,198,496,659,281/4,432,423.50
  6. Step 6: Final answer
    x = 21,252,142.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.