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Finding the Third Proportional to 3,664,022.81 and 7,831,209.19

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Solution

The third proportional to 3,664,022.81 and 7,831,209.19 is: 16,737,842.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664,022.81 : 7,831,209.19 = 7,831,209.19 : x
  2. Step 2: Convert to fraction form
    3,664,022.81/7,831,209.19 = 7,831,209.19/x
  3. Step 3: Cross multiply
    3,664,022.81x = 7,831,209.19 × 7,831,209.19
  4. Step 4: Simplify right side
    3,664,022.81x = 61,327,837,338,384.41
  5. Step 5: Solve for x
    x = 61,327,837,338,384.41/3,664,022.81
  6. Step 6: Final answer
    x = 16,737,842.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.