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Finding the Third Proportional to 6,837,210 and 14,589,588.38

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Solution

The third proportional to 6,837,210 and 14,589,588.38 is: 31,132,009.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837,210 : 14,589,588.38 = 14,589,588.38 : x
  2. Step 2: Convert to fraction form
    6,837,210/14,589,588.38 = 14,589,588.38/x
  3. Step 3: Cross multiply
    6,837,210x = 14,589,588.38 × 14,589,588.38
  4. Step 4: Simplify right side
    6,837,210x = 212,856,088,951,935.12
  5. Step 5: Solve for x
    x = 212,856,088,951,935.12/6,837,210
  6. Step 6: Final answer
    x = 31,132,009.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.