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Finding the Third Proportional to 5,119,735.50 and 10,968,147

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Solution

The third proportional to 5,119,735.50 and 10,968,147 is: 23,497,356.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,119,735.50 : 10,968,147 = 10,968,147 : x
  2. Step 2: Convert to fraction form
    5,119,735.50/10,968,147 = 10,968,147/x
  3. Step 3: Cross multiply
    5,119,735.50x = 10,968,147 × 10,968,147
  4. Step 4: Simplify right side
    5,119,735.50x = 120,300,248,613,609
  5. Step 5: Solve for x
    x = 120,300,248,613,609/5,119,735.50
  6. Step 6: Final answer
    x = 23,497,356.18

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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.