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Finding the Third Proportional to 8,039,349 and 17,245,741.50

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Solution

The third proportional to 8,039,349 and 17,245,741.50 is: 36,994,985.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,039,349 : 17,245,741.50 = 17,245,741.50 : x
  2. Step 2: Convert to fraction form
    8,039,349/17,245,741.50 = 17,245,741.50/x
  3. Step 3: Cross multiply
    8,039,349x = 17,245,741.50 × 17,245,741.50
  4. Step 4: Simplify right side
    8,039,349x = 297,415,599,884,822.25
  5. Step 5: Solve for x
    x = 297,415,599,884,822.25/8,039,349
  6. Step 6: Final answer
    x = 36,994,985.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.