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Finding the Third Proportional to 9,033,612.75 and 12,876,998.63

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Solution

The third proportional to 9,033,612.75 and 12,876,998.63 is: 18,355,568.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,033,612.75 : 12,876,998.63 = 12,876,998.63 : x
  2. Step 2: Convert to fraction form
    9,033,612.75/12,876,998.63 = 12,876,998.63/x
  3. Step 3: Cross multiply
    9,033,612.75x = 12,876,998.63 × 12,876,998.63
  4. Step 4: Simplify right side
    9,033,612.75x = 165,817,093,588,251.88
  5. Step 5: Solve for x
    x = 165,817,093,588,251.88/9,033,612.75
  6. Step 6: Final answer
    x = 18,355,568.05

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.