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Finding the Third Proportional to 6,099,391.69 and 12,827,791.13

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Solution

The third proportional to 6,099,391.69 and 12,827,791.13 is: 26,978,465.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099,391.69 : 12,827,791.13 = 12,827,791.13 : x
  2. Step 2: Convert to fraction form
    6,099,391.69/12,827,791.13 = 12,827,791.13/x
  3. Step 3: Cross multiply
    6,099,391.69x = 12,827,791.13 × 12,827,791.13
  4. Step 4: Simplify right side
    6,099,391.69x = 164,552,225,146,628.75
  5. Step 5: Solve for x
    x = 164,552,225,146,628.75/6,099,391.69
  6. Step 6: Final answer
    x = 26,978,465.00

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.