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Finding the Third Proportional to 3,007,658 and 6,494,717

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Solution

The third proportional to 3,007,658 and 6,494,717 is: 14,024,649.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007,658 : 6,494,717 = 6,494,717 : x
  2. Step 2: Convert to fraction form
    3,007,658/6,494,717 = 6,494,717/x
  3. Step 3: Cross multiply
    3,007,658x = 6,494,717 × 6,494,717
  4. Step 4: Simplify right side
    3,007,658x = 42,181,348,910,089
  5. Step 5: Solve for x
    x = 42,181,348,910,089/3,007,658
  6. Step 6: Final answer
    x = 14,024,649.38

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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.