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Finding the Third Proportional to 7,831,107.50 and 16,968,765

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Solution

The third proportional to 7,831,107.50 and 16,968,765 is: 36,768,616.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831,107.50 : 16,968,765 = 16,968,765 : x
  2. Step 2: Convert to fraction form
    7,831,107.50/16,968,765 = 16,968,765/x
  3. Step 3: Cross multiply
    7,831,107.50x = 16,968,765 × 16,968,765
  4. Step 4: Simplify right side
    7,831,107.50x = 287,938,985,625,225
  5. Step 5: Solve for x
    x = 287,938,985,625,225/7,831,107.50
  6. Step 6: Final answer
    x = 36,768,616.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.