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Finding the Third Proportional to 3,185,569.69 and 6,930,930.38

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Solution

The third proportional to 3,185,569.69 and 6,930,930.38 is: 15,079,813.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185,569.69 : 6,930,930.38 = 6,930,930.38 : x
  2. Step 2: Convert to fraction form
    3,185,569.69/6,930,930.38 = 6,930,930.38/x
  3. Step 3: Cross multiply
    3,185,569.69x = 6,930,930.38 × 6,930,930.38
  4. Step 4: Simplify right side
    3,185,569.69x = 48,037,795,863,097.64
  5. Step 5: Solve for x
    x = 48,037,795,863,097.64/3,185,569.69
  6. Step 6: Final answer
    x = 15,079,813.21

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Why These Related Problems?

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