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Finding the Third Proportional to 6,741,173 and 9,538,557

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Solution

The third proportional to 6,741,173 and 9,538,557 is: 13,496,771.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,741,173 : 9,538,557 = 9,538,557 : x
  2. Step 2: Convert to fraction form
    6,741,173/9,538,557 = 9,538,557/x
  3. Step 3: Cross multiply
    6,741,173x = 9,538,557 × 9,538,557
  4. Step 4: Simplify right side
    6,741,173x = 90,984,069,642,249
  5. Step 5: Solve for x
    x = 90,984,069,642,249/6,741,173
  6. Step 6: Final answer
    x = 13,496,771.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.