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Finding the Third Proportional to 5,409,416.50 and 11,422,443.50

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Solution

The third proportional to 5,409,416.50 and 11,422,443.50 is: 24,119,461.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409,416.50 : 11,422,443.50 = 11,422,443.50 : x
  2. Step 2: Convert to fraction form
    5,409,416.50/11,422,443.50 = 11,422,443.50/x
  3. Step 3: Cross multiply
    5,409,416.50x = 11,422,443.50 × 11,422,443.50
  4. Step 4: Simplify right side
    5,409,416.50x = 130,472,215,510,692.25
  5. Step 5: Solve for x
    x = 130,472,215,510,692.25/5,409,416.50
  6. Step 6: Final answer
    x = 24,119,461.96

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.