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Finding the Third Proportional to 2,043,216.14 and 4,445,569.83

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Solution

The third proportional to 2,043,216.14 and 4,445,569.83 is: 9,672,540.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043,216.14 : 4,445,569.83 = 4,445,569.83 : x
  2. Step 2: Convert to fraction form
    2,043,216.14/4,445,569.83 = 4,445,569.83/x
  3. Step 3: Cross multiply
    2,043,216.14x = 4,445,569.83 × 4,445,569.83
  4. Step 4: Simplify right side
    2,043,216.14x = 19,763,091,096,735.34
  5. Step 5: Solve for x
    x = 19,763,091,096,735.34/2,043,216.14
  6. Step 6: Final answer
    x = 9,672,540.61

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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.