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Finding the Third Proportional to 4,043,018.81 and 8,832,146.34

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Solution

The third proportional to 4,043,018.81 and 8,832,146.34 is: 19,294,198.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,043,018.81 : 8,832,146.34 = 8,832,146.34 : x
  2. Step 2: Convert to fraction form
    4,043,018.81/8,832,146.34 = 8,832,146.34/x
  3. Step 3: Cross multiply
    4,043,018.81x = 8,832,146.34 × 8,832,146.34
  4. Step 4: Simplify right side
    4,043,018.81x = 78,006,809,037,416.50
  5. Step 5: Solve for x
    x = 78,006,809,037,416.50/4,043,018.81
  6. Step 6: Final answer
    x = 19,294,198.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.