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Finding the Third Proportional to 6,005,463.75 and 9,092,416.50

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Solution

The third proportional to 6,005,463.75 and 9,092,416.50 is: 13,766,137.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005,463.75 : 9,092,416.50 = 9,092,416.50 : x
  2. Step 2: Convert to fraction form
    6,005,463.75/9,092,416.50 = 9,092,416.50/x
  3. Step 3: Cross multiply
    6,005,463.75x = 9,092,416.50 × 9,092,416.50
  4. Step 4: Simplify right side
    6,005,463.75x = 82,672,037,809,472.25
  5. Step 5: Solve for x
    x = 82,672,037,809,472.25/6,005,463.75
  6. Step 6: Final answer
    x = 13,766,137.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.