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Finding the Third Proportional to 4,281,686 and 7,029,029

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Solution

The third proportional to 4,281,686 and 7,029,029 is: 11,539,204.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,281,686 : 7,029,029 = 7,029,029 : x
  2. Step 2: Convert to fraction form
    4,281,686/7,029,029 = 7,029,029/x
  3. Step 3: Cross multiply
    4,281,686x = 7,029,029 × 7,029,029
  4. Step 4: Simplify right side
    4,281,686x = 49,407,248,682,841
  5. Step 5: Solve for x
    x = 49,407,248,682,841/4,281,686
  6. Step 6: Final answer
    x = 11,539,204.11

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.