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Finding the Third Proportional to 3,178,326.09 and 6,898,472.89

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Solution

The third proportional to 3,178,326.09 and 6,898,472.89 is: 14,972,953.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178,326.09 : 6,898,472.89 = 6,898,472.89 : x
  2. Step 2: Convert to fraction form
    3,178,326.09/6,898,472.89 = 6,898,472.89/x
  3. Step 3: Cross multiply
    3,178,326.09x = 6,898,472.89 × 6,898,472.89
  4. Step 4: Simplify right side
    3,178,326.09x = 47,588,928,276,584.43
  5. Step 5: Solve for x
    x = 47,588,928,276,584.43/3,178,326.09
  6. Step 6: Final answer
    x = 14,972,953.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.