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Finding the Third Proportional to 3,271,548 and 7,149,624

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Solution

The third proportional to 3,271,548 and 7,149,624 is: 15,624,751.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271,548 : 7,149,624 = 7,149,624 : x
  2. Step 2: Convert to fraction form
    3,271,548/7,149,624 = 7,149,624/x
  3. Step 3: Cross multiply
    3,271,548x = 7,149,624 × 7,149,624
  4. Step 4: Simplify right side
    3,271,548x = 51,117,123,341,376
  5. Step 5: Solve for x
    x = 51,117,123,341,376/3,271,548
  6. Step 6: Final answer
    x = 15,624,751.14

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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.