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Finding the Third Proportional to 9,564,282 and 20,493,035

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Solution

The third proportional to 9,564,282 and 20,493,035 is: 43,909,671.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564,282 : 20,493,035 = 20,493,035 : x
  2. Step 2: Convert to fraction form
    9,564,282/20,493,035 = 20,493,035/x
  3. Step 3: Cross multiply
    9,564,282x = 20,493,035 × 20,493,035
  4. Step 4: Simplify right side
    9,564,282x = 419,964,483,511,225
  5. Step 5: Solve for x
    x = 419,964,483,511,225/9,564,282
  6. Step 6: Final answer
    x = 43,909,671.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.