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Finding the Third Proportional to 7,834,074.75 and 17,181,509.63

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Solution

The third proportional to 7,834,074.75 and 17,181,509.63 is: 37,682,085.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834,074.75 : 17,181,509.63 = 17,181,509.63 : x
  2. Step 2: Convert to fraction form
    7,834,074.75/17,181,509.63 = 17,181,509.63/x
  3. Step 3: Cross multiply
    7,834,074.75x = 17,181,509.63 × 17,181,509.63
  4. Step 4: Simplify right side
    7,834,074.75x = 295,204,272,993,967.62
  5. Step 5: Solve for x
    x = 295,204,272,993,967.62/7,834,074.75
  6. Step 6: Final answer
    x = 37,682,085.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.