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Finding the Third Proportional to 4,097,901.75 and 6,013,992.38

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Solution

The third proportional to 4,097,901.75 and 6,013,992.38 is: 8,826,005.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097,901.75 : 6,013,992.38 = 6,013,992.38 : x
  2. Step 2: Convert to fraction form
    4,097,901.75/6,013,992.38 = 6,013,992.38/x
  3. Step 3: Cross multiply
    4,097,901.75x = 6,013,992.38 × 6,013,992.38
  4. Step 4: Simplify right side
    4,097,901.75x = 36,168,104,286,558.14
  5. Step 5: Solve for x
    x = 36,168,104,286,558.14/4,097,901.75
  6. Step 6: Final answer
    x = 8,826,005.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.