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Finding the Third Proportional to 4,380,982 and 9,587,826

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Solution

The third proportional to 4,380,982 and 9,587,826 is: 20,983,059.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,380,982 : 9,587,826 = 9,587,826 : x
  2. Step 2: Convert to fraction form
    4,380,982/9,587,826 = 9,587,826/x
  3. Step 3: Cross multiply
    4,380,982x = 9,587,826 × 9,587,826
  4. Step 4: Simplify right side
    4,380,982x = 91,926,407,406,276
  5. Step 5: Solve for x
    x = 91,926,407,406,276/4,380,982
  6. Step 6: Final answer
    x = 20,983,059.83

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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.