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Finding the Third Proportional to 7,904,178.94 and 18,297,036.80

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Solution

The third proportional to 7,904,178.94 and 18,297,036.80 is: 42,355,007.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,904,178.94 : 18,297,036.80 = 18,297,036.80 : x
  2. Step 2: Convert to fraction form
    7,904,178.94/18,297,036.80 = 18,297,036.80/x
  3. Step 3: Cross multiply
    7,904,178.94x = 18,297,036.80 × 18,297,036.80
  4. Step 4: Simplify right side
    7,904,178.94x = 334,781,555,814,176.19
  5. Step 5: Solve for x
    x = 334,781,555,814,176.19/7,904,178.94
  6. Step 6: Final answer
    x = 42,355,007.19

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.