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Finding the Third Proportional to 3,663,729 and 7,831,651.50

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Solution

The third proportional to 3,663,729 and 7,831,651.50 is: 16,741,075.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663,729 : 7,831,651.50 = 7,831,651.50 : x
  2. Step 2: Convert to fraction form
    3,663,729/7,831,651.50 = 7,831,651.50/x
  3. Step 3: Cross multiply
    3,663,729x = 7,831,651.50 × 7,831,651.50
  4. Step 4: Simplify right side
    3,663,729x = 61,334,765,217,452.25
  5. Step 5: Solve for x
    x = 61,334,765,217,452.25/3,663,729
  6. Step 6: Final answer
    x = 16,741,075.89

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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.