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Finding the Third Proportional to 4,351,272 and 9,425,724

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Solution

The third proportional to 4,351,272 and 9,425,724 is: 20,418,000.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,351,272 : 9,425,724 = 9,425,724 : x
  2. Step 2: Convert to fraction form
    4,351,272/9,425,724 = 9,425,724/x
  3. Step 3: Cross multiply
    4,351,272x = 9,425,724 × 9,425,724
  4. Step 4: Simplify right side
    4,351,272x = 88,844,272,924,176
  5. Step 5: Solve for x
    x = 88,844,272,924,176/4,351,272
  6. Step 6: Final answer
    x = 20,418,000.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.