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Finding the Third Proportional to 3,184,732.69 and 6,815,800.69

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Solution

The third proportional to 3,184,732.69 and 6,815,800.69 is: 14,586,825.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184,732.69 : 6,815,800.69 = 6,815,800.69 : x
  2. Step 2: Convert to fraction form
    3,184,732.69/6,815,800.69 = 6,815,800.69/x
  3. Step 3: Cross multiply
    3,184,732.69x = 6,815,800.69 × 6,815,800.69
  4. Step 4: Simplify right side
    3,184,732.69x = 46,455,139,011,725.47
  5. Step 5: Solve for x
    x = 46,455,139,011,725.47/3,184,732.69
  6. Step 6: Final answer
    x = 14,586,825.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.