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Finding the Third Proportional to 4,287,231 and 9,438,057

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Solution

The third proportional to 4,287,231 and 9,438,057 is: 20,777,261.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287,231 : 9,438,057 = 9,438,057 : x
  2. Step 2: Convert to fraction form
    4,287,231/9,438,057 = 9,438,057/x
  3. Step 3: Cross multiply
    4,287,231x = 9,438,057 × 9,438,057
  4. Step 4: Simplify right side
    4,287,231x = 89,076,919,935,249
  5. Step 5: Solve for x
    x = 89,076,919,935,249/4,287,231
  6. Step 6: Final answer
    x = 20,777,261.58

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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.