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Finding the Third Proportional to 3,098,980.69 and 6,695,913.94

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Solution

The third proportional to 3,098,980.69 and 6,695,913.94 is: 14,467,745.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098,980.69 : 6,695,913.94 = 6,695,913.94 : x
  2. Step 2: Convert to fraction form
    3,098,980.69/6,695,913.94 = 6,695,913.94/x
  3. Step 3: Cross multiply
    3,098,980.69x = 6,695,913.94 × 6,695,913.94
  4. Step 4: Simplify right side
    3,098,980.69x = 44,835,263,458,406.75
  5. Step 5: Solve for x
    x = 44,835,263,458,406.75/3,098,980.69
  6. Step 6: Final answer
    x = 14,467,745.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.