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Finding the Third Proportional to 5,354,223.19 and 8,043,203.81

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Solution

The third proportional to 5,354,223.19 and 8,043,203.81 is: 12,082,635.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354,223.19 : 8,043,203.81 = 8,043,203.81 : x
  2. Step 2: Convert to fraction form
    5,354,223.19/8,043,203.81 = 8,043,203.81/x
  3. Step 3: Cross multiply
    5,354,223.19x = 8,043,203.81 × 8,043,203.81
  4. Step 4: Simplify right side
    5,354,223.19x = 64,693,127,569,414.53
  5. Step 5: Solve for x
    x = 64,693,127,569,414.53/5,354,223.19
  6. Step 6: Final answer
    x = 12,082,635.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.