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Finding the Third Proportional to 8,029,028.81 and 11,445,672.09

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Solution

The third proportional to 8,029,028.81 and 11,445,672.09 is: 16,316,221.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,029,028.81 : 11,445,672.09 = 11,445,672.09 : x
  2. Step 2: Convert to fraction form
    8,029,028.81/11,445,672.09 = 11,445,672.09/x
  3. Step 3: Cross multiply
    8,029,028.81x = 11,445,672.09 × 11,445,672.09
  4. Step 4: Simplify right side
    8,029,028.81x = 131,003,409,677,647.52
  5. Step 5: Solve for x
    x = 131,003,409,677,647.52/8,029,028.81
  6. Step 6: Final answer
    x = 16,316,221.14

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.