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Finding the Third Proportional to 7,546,509 and 11,768,167.13

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Solution

The third proportional to 7,546,509 and 11,768,167.13 is: 18,351,499.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546,509 : 11,768,167.13 = 11,768,167.13 : x
  2. Step 2: Convert to fraction form
    7,546,509/11,768,167.13 = 11,768,167.13/x
  3. Step 3: Cross multiply
    7,546,509x = 11,768,167.13 × 11,768,167.13
  4. Step 4: Simplify right side
    7,546,509x = 138,489,757,481,930.77
  5. Step 5: Solve for x
    x = 138,489,757,481,930.77/7,546,509
  6. Step 6: Final answer
    x = 18,351,499.68

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.