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Finding the Third Proportional to 10,267,421.25 and 15,369,147

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Solution

The third proportional to 10,267,421.25 and 15,369,147 is: 23,005,842.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,267,421.25 : 15,369,147 = 15,369,147 : x
  2. Step 2: Convert to fraction form
    10,267,421.25/15,369,147 = 15,369,147/x
  3. Step 3: Cross multiply
    10,267,421.25x = 15,369,147 × 15,369,147
  4. Step 4: Simplify right side
    10,267,421.25x = 236,210,679,507,609
  5. Step 5: Solve for x
    x = 236,210,679,507,609/10,267,421.25
  6. Step 6: Final answer
    x = 23,005,842.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.