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Finding the Third Proportional to 7,500,294 and 16,363,512

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Solution

The third proportional to 7,500,294 and 16,363,512 is: 35,700,537.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,500,294 : 16,363,512 = 16,363,512 : x
  2. Step 2: Convert to fraction form
    7,500,294/16,363,512 = 16,363,512/x
  3. Step 3: Cross multiply
    7,500,294x = 16,363,512 × 16,363,512
  4. Step 4: Simplify right side
    7,500,294x = 267,764,524,974,144
  5. Step 5: Solve for x
    x = 267,764,524,974,144/7,500,294
  6. Step 6: Final answer
    x = 35,700,537.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.