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Finding the Third Proportional to 7,679,657 and 16,452,315

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Solution

The third proportional to 7,679,657 and 16,452,315 is: 35,246,192.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,679,657 : 16,452,315 = 16,452,315 : x
  2. Step 2: Convert to fraction form
    7,679,657/16,452,315 = 16,452,315/x
  3. Step 3: Cross multiply
    7,679,657x = 16,452,315 × 16,452,315
  4. Step 4: Simplify right side
    7,679,657x = 270,678,668,859,225
  5. Step 5: Solve for x
    x = 270,678,668,859,225/7,679,657
  6. Step 6: Final answer
    x = 35,246,192.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.