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Finding the Third Proportional to 7,637,775 and 16,471,299

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Solution

The third proportional to 7,637,775 and 16,471,299 is: 35,521,299.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,637,775 : 16,471,299 = 16,471,299 : x
  2. Step 2: Convert to fraction form
    7,637,775/16,471,299 = 16,471,299/x
  3. Step 3: Cross multiply
    7,637,775x = 16,471,299 × 16,471,299
  4. Step 4: Simplify right side
    7,637,775x = 271,303,690,747,401
  5. Step 5: Solve for x
    x = 271,303,690,747,401/7,637,775
  6. Step 6: Final answer
    x = 35,521,299.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.