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Finding the Third Proportional to 8,564,078 and 18,831,532

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Solution

The third proportional to 8,564,078 and 18,831,532 is: 41,408,613.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564,078 : 18,831,532 = 18,831,532 : x
  2. Step 2: Convert to fraction form
    8,564,078/18,831,532 = 18,831,532/x
  3. Step 3: Cross multiply
    8,564,078x = 18,831,532 × 18,831,532
  4. Step 4: Simplify right side
    8,564,078x = 354,626,597,467,024
  5. Step 5: Solve for x
    x = 354,626,597,467,024/8,564,078
  6. Step 6: Final answer
    x = 41,408,613.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.