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Finding the Third Proportional to 4,712,947.50 and 7,206,378

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Solution

The third proportional to 4,712,947.50 and 7,206,378 is: 11,018,982.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712,947.50 : 7,206,378 = 7,206,378 : x
  2. Step 2: Convert to fraction form
    4,712,947.50/7,206,378 = 7,206,378/x
  3. Step 3: Cross multiply
    4,712,947.50x = 7,206,378 × 7,206,378
  4. Step 4: Simplify right side
    4,712,947.50x = 51,931,883,878,884
  5. Step 5: Solve for x
    x = 51,931,883,878,884/4,712,947.50
  6. Step 6: Final answer
    x = 11,018,982.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.