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Finding the Third Proportional to 4,655,853.50 and 10,177,435

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Solution

The third proportional to 4,655,853.50 and 10,177,435 is: 22,247,302.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655,853.50 : 10,177,435 = 10,177,435 : x
  2. Step 2: Convert to fraction form
    4,655,853.50/10,177,435 = 10,177,435/x
  3. Step 3: Cross multiply
    4,655,853.50x = 10,177,435 × 10,177,435
  4. Step 4: Simplify right side
    4,655,853.50x = 103,580,183,179,225
  5. Step 5: Solve for x
    x = 103,580,183,179,225/4,655,853.50
  6. Step 6: Final answer
    x = 22,247,302.92

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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.