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Finding the Third Proportional to 6,704,890 and 14,481,477

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Solution

The third proportional to 6,704,890 and 14,481,477 is: 31,277,646.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704,890 : 14,481,477 = 14,481,477 : x
  2. Step 2: Convert to fraction form
    6,704,890/14,481,477 = 14,481,477/x
  3. Step 3: Cross multiply
    6,704,890x = 14,481,477 × 14,481,477
  4. Step 4: Simplify right side
    6,704,890x = 209,713,176,101,529
  5. Step 5: Solve for x
    x = 209,713,176,101,529/6,704,890
  6. Step 6: Final answer
    x = 31,277,646.03

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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.