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Finding the Third Proportional to 5,410,047 and 8,098,114.50

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Solution

The third proportional to 5,410,047 and 8,098,114.50 is: 12,121,790.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410,047 : 8,098,114.50 = 8,098,114.50 : x
  2. Step 2: Convert to fraction form
    5,410,047/8,098,114.50 = 8,098,114.50/x
  3. Step 3: Cross multiply
    5,410,047x = 8,098,114.50 × 8,098,114.50
  4. Step 4: Simplify right side
    5,410,047x = 65,579,458,455,110.25
  5. Step 5: Solve for x
    x = 65,579,458,455,110.25/5,410,047
  6. Step 6: Final answer
    x = 12,121,790.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.