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Finding the Third Proportional to 9,496,814 and 22,395,761

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Solution

The third proportional to 9,496,814 and 22,395,761 is: 52,814,566.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496,814 : 22,395,761 = 22,395,761 : x
  2. Step 2: Convert to fraction form
    9,496,814/22,395,761 = 22,395,761/x
  3. Step 3: Cross multiply
    9,496,814x = 22,395,761 × 22,395,761
  4. Step 4: Simplify right side
    9,496,814x = 501,570,110,769,121
  5. Step 5: Solve for x
    x = 501,570,110,769,121/9,496,814
  6. Step 6: Final answer
    x = 52,814,566.10

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.