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Finding the Third Proportional to 5,297,206 and 11,434,220

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Solution

The third proportional to 5,297,206 and 11,434,220 is: 24,681,197.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297,206 : 11,434,220 = 11,434,220 : x
  2. Step 2: Convert to fraction form
    5,297,206/11,434,220 = 11,434,220/x
  3. Step 3: Cross multiply
    5,297,206x = 11,434,220 × 11,434,220
  4. Step 4: Simplify right side
    5,297,206x = 130,741,387,008,400
  5. Step 5: Solve for x
    x = 130,741,387,008,400/5,297,206
  6. Step 6: Final answer
    x = 24,681,197.41

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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.