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Finding the Third Proportional to 2,793,184.13 and 5,999,741.63

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Solution

The third proportional to 2,793,184.13 and 5,999,741.63 is: 12,887,406.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,793,184.13 : 5,999,741.63 = 5,999,741.63 : x
  2. Step 2: Convert to fraction form
    2,793,184.13/5,999,741.63 = 5,999,741.63/x
  3. Step 3: Cross multiply
    2,793,184.13x = 5,999,741.63 × 5,999,741.63
  4. Step 4: Simplify right side
    2,793,184.13x = 35,996,899,566,757.64
  5. Step 5: Solve for x
    x = 35,996,899,566,757.64/2,793,184.13
  6. Step 6: Final answer
    x = 12,887,406.61

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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.