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Finding the Third Proportional to 6,103,542.38 and 8,533,660.50

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Solution

The third proportional to 6,103,542.38 and 8,533,660.50 is: 11,931,327.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,103,542.38 : 8,533,660.50 = 8,533,660.50 : x
  2. Step 2: Convert to fraction form
    6,103,542.38/8,533,660.50 = 8,533,660.50/x
  3. Step 3: Cross multiply
    6,103,542.38x = 8,533,660.50 × 8,533,660.50
  4. Step 4: Simplify right side
    6,103,542.38x = 72,823,361,529,260.25
  5. Step 5: Solve for x
    x = 72,823,361,529,260.25/6,103,542.38
  6. Step 6: Final answer
    x = 11,931,327.26

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.