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Finding the Third Proportional to 7,305,476 and 11,356,006

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Solution

The third proportional to 7,305,476 and 11,356,006 is: 17,652,357.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,305,476 : 11,356,006 = 11,356,006 : x
  2. Step 2: Convert to fraction form
    7,305,476/11,356,006 = 11,356,006/x
  3. Step 3: Cross multiply
    7,305,476x = 11,356,006 × 11,356,006
  4. Step 4: Simplify right side
    7,305,476x = 128,958,872,272,036
  5. Step 5: Solve for x
    x = 128,958,872,272,036/7,305,476
  6. Step 6: Final answer
    x = 17,652,357.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.