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Finding the Third Proportional to 5,224,767 and 11,321,431.50

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Solution

The third proportional to 5,224,767 and 11,321,431.50 is: 24,532,158.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224,767 : 11,321,431.50 = 11,321,431.50 : x
  2. Step 2: Convert to fraction form
    5,224,767/11,321,431.50 = 11,321,431.50/x
  3. Step 3: Cross multiply
    5,224,767x = 11,321,431.50 × 11,321,431.50
  4. Step 4: Simplify right side
    5,224,767x = 128,174,811,209,192.25
  5. Step 5: Solve for x
    x = 128,174,811,209,192.25/5,224,767
  6. Step 6: Final answer
    x = 24,532,158.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.