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Finding the Third Proportional to 6,701,670.38 and 14,632,332.38

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Solution

The third proportional to 6,701,670.38 and 14,632,332.38 is: 31,948,027.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701,670.38 : 14,632,332.38 = 14,632,332.38 : x
  2. Step 2: Convert to fraction form
    6,701,670.38/14,632,332.38 = 14,632,332.38/x
  3. Step 3: Cross multiply
    6,701,670.38x = 14,632,332.38 × 14,632,332.38
  4. Step 4: Simplify right side
    6,701,670.38x = 214,105,150,732,473.12
  5. Step 5: Solve for x
    x = 214,105,150,732,473.12/6,701,670.38
  6. Step 6: Final answer
    x = 31,948,027.69

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.