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Finding the Third Proportional to 13,204,142 and 27,997,989.50

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Solution

The third proportional to 13,204,142 and 27,997,989.50 is: 59,366,781.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204,142 : 27,997,989.50 = 27,997,989.50 : x
  2. Step 2: Convert to fraction form
    13,204,142/27,997,989.50 = 27,997,989.50/x
  3. Step 3: Cross multiply
    13,204,142x = 27,997,989.50 × 27,997,989.50
  4. Step 4: Simplify right side
    13,204,142x = 783,887,416,042,110.25
  5. Step 5: Solve for x
    x = 783,887,416,042,110.25/13,204,142
  6. Step 6: Final answer
    x = 59,366,781.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.