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Finding the Third Proportional to 6,524,624 and 15,352,574

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Solution

The third proportional to 6,524,624 and 15,352,574 is: 36,124,921.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524,624 : 15,352,574 = 15,352,574 : x
  2. Step 2: Convert to fraction form
    6,524,624/15,352,574 = 15,352,574/x
  3. Step 3: Cross multiply
    6,524,624x = 15,352,574 × 15,352,574
  4. Step 4: Simplify right side
    6,524,624x = 235,701,528,425,476
  5. Step 5: Solve for x
    x = 235,701,528,425,476/6,524,624
  6. Step 6: Final answer
    x = 36,124,921.29

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.