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Finding the Third Proportional to 14,804,019 and 33,011,911.13

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Solution

The third proportional to 14,804,019 and 33,011,911.13 is: 73,614,217.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,804,019 : 33,011,911.13 = 33,011,911.13 : x
  2. Step 2: Convert to fraction form
    14,804,019/33,011,911.13 = 33,011,911.13/x
  3. Step 3: Cross multiply
    14,804,019x = 33,011,911.13 × 33,011,911.13
  4. Step 4: Simplify right side
    14,804,019x = 1,089,786,276,124,898.75
  5. Step 5: Solve for x
    x = 1,089,786,276,124,898.75/14,804,019
  6. Step 6: Final answer
    x = 73,614,217.61

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.