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Finding the Third Proportional to 3,205,073 and 7,018,002

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Solution

The third proportional to 3,205,073 and 7,018,002 is: 15,366,998.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205,073 : 7,018,002 = 7,018,002 : x
  2. Step 2: Convert to fraction form
    3,205,073/7,018,002 = 7,018,002/x
  3. Step 3: Cross multiply
    3,205,073x = 7,018,002 × 7,018,002
  4. Step 4: Simplify right side
    3,205,073x = 49,252,352,072,004
  5. Step 5: Solve for x
    x = 49,252,352,072,004/3,205,073
  6. Step 6: Final answer
    x = 15,366,998.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.