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Finding the Third Proportional to 5,394,710.81 and 11,558,903.06

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Solution

The third proportional to 5,394,710.81 and 11,558,903.06 is: 24,766,524.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,394,710.81 : 11,558,903.06 = 11,558,903.06 : x
  2. Step 2: Convert to fraction form
    5,394,710.81/11,558,903.06 = 11,558,903.06/x
  3. Step 3: Cross multiply
    5,394,710.81x = 11,558,903.06 × 11,558,903.06
  4. Step 4: Simplify right side
    5,394,710.81x = 133,608,240,008,271.88
  5. Step 5: Solve for x
    x = 133,608,240,008,271.88/5,394,710.81
  6. Step 6: Final answer
    x = 24,766,524.96

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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.