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Finding the Third Proportional to 6,756,315 and 15,942,410

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Solution

The third proportional to 6,756,315 and 15,942,410 is: 37,618,204.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,756,315 : 15,942,410 = 15,942,410 : x
  2. Step 2: Convert to fraction form
    6,756,315/15,942,410 = 15,942,410/x
  3. Step 3: Cross multiply
    6,756,315x = 15,942,410 × 15,942,410
  4. Step 4: Simplify right side
    6,756,315x = 254,160,436,608,100
  5. Step 5: Solve for x
    x = 254,160,436,608,100/6,756,315
  6. Step 6: Final answer
    x = 37,618,204.10

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.