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Finding the Third Proportional to 5,409,643.50 and 11,422,899

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Solution

The third proportional to 5,409,643.50 and 11,422,899 is: 24,120,373.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409,643.50 : 11,422,899 = 11,422,899 : x
  2. Step 2: Convert to fraction form
    5,409,643.50/11,422,899 = 11,422,899/x
  3. Step 3: Cross multiply
    5,409,643.50x = 11,422,899 × 11,422,899
  4. Step 4: Simplify right side
    5,409,643.50x = 130,482,621,564,201
  5. Step 5: Solve for x
    x = 130,482,621,564,201/5,409,643.50
  6. Step 6: Final answer
    x = 24,120,373.47

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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.