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Finding the Third Proportional to 6,204,898.69 and 13,634,228.81

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Solution

The third proportional to 6,204,898.69 and 13,634,228.81 is: 29,958,941.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204,898.69 : 13,634,228.81 = 13,634,228.81 : x
  2. Step 2: Convert to fraction form
    6,204,898.69/13,634,228.81 = 13,634,228.81/x
  3. Step 3: Cross multiply
    6,204,898.69x = 13,634,228.81 × 13,634,228.81
  4. Step 4: Simplify right side
    6,204,898.69x = 185,892,195,311,605.16
  5. Step 5: Solve for x
    x = 185,892,195,311,605.16/6,204,898.69
  6. Step 6: Final answer
    x = 29,958,941.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.