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Finding the Third Proportional to 6,675,430.50 and 13,704,743.25

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Solution

The third proportional to 6,675,430.50 and 13,704,743.25 is: 28,136,011.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,675,430.50 : 13,704,743.25 = 13,704,743.25 : x
  2. Step 2: Convert to fraction form
    6,675,430.50/13,704,743.25 = 13,704,743.25/x
  3. Step 3: Cross multiply
    6,675,430.50x = 13,704,743.25 × 13,704,743.25
  4. Step 4: Simplify right side
    6,675,430.50x = 187,819,987,548,420.56
  5. Step 5: Solve for x
    x = 187,819,987,548,420.56/6,675,430.50
  6. Step 6: Final answer
    x = 28,136,011.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.