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Finding the Third Proportional to 7,813,221.81 and 16,826,485.94

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Solution

The third proportional to 7,813,221.81 and 16,826,485.94 is: 36,237,372.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813,221.81 : 16,826,485.94 = 16,826,485.94 : x
  2. Step 2: Convert to fraction form
    7,813,221.81/16,826,485.94 = 16,826,485.94/x
  3. Step 3: Cross multiply
    7,813,221.81x = 16,826,485.94 × 16,826,485.94
  4. Step 4: Simplify right side
    7,813,221.81x = 283,130,629,004,885.25
  5. Step 5: Solve for x
    x = 283,130,629,004,885.25/7,813,221.81
  6. Step 6: Final answer
    x = 36,237,372.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.