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Finding the Third Proportional to 8,139,102.75 and 12,596,914.97

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Solution

The third proportional to 8,139,102.75 and 12,596,914.97 is: 19,496,284.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,139,102.75 : 12,596,914.97 = 12,596,914.97 : x
  2. Step 2: Convert to fraction form
    8,139,102.75/12,596,914.97 = 12,596,914.97/x
  3. Step 3: Cross multiply
    8,139,102.75x = 12,596,914.97 × 12,596,914.97
  4. Step 4: Simplify right side
    8,139,102.75x = 158,682,266,729,917.81
  5. Step 5: Solve for x
    x = 158,682,266,729,917.81/8,139,102.75
  6. Step 6: Final answer
    x = 19,496,284.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.