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Finding the Third Proportional to 3,782,735.44 and 7,834,638.94

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Solution

The third proportional to 3,782,735.44 and 7,834,638.94 is: 16,226,767.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782,735.44 : 7,834,638.94 = 7,834,638.94 : x
  2. Step 2: Convert to fraction form
    3,782,735.44/7,834,638.94 = 7,834,638.94/x
  3. Step 3: Cross multiply
    3,782,735.44x = 7,834,638.94 × 7,834,638.94
  4. Step 4: Simplify right side
    3,782,735.44x = 61,381,567,280,991.12
  5. Step 5: Solve for x
    x = 61,381,567,280,991.12/3,782,735.44
  6. Step 6: Final answer
    x = 16,226,767.19

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.