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Finding the Third Proportional to 2,431,351.50 and 5,239,777.50

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Solution

The third proportional to 2,431,351.50 and 5,239,777.50 is: 11,292,183.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431,351.50 : 5,239,777.50 = 5,239,777.50 : x
  2. Step 2: Convert to fraction form
    2,431,351.50/5,239,777.50 = 5,239,777.50/x
  3. Step 3: Cross multiply
    2,431,351.50x = 5,239,777.50 × 5,239,777.50
  4. Step 4: Simplify right side
    2,431,351.50x = 27,455,268,249,506.25
  5. Step 5: Solve for x
    x = 27,455,268,249,506.25/2,431,351.50
  6. Step 6: Final answer
    x = 11,292,183.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.