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Finding the Third Proportional to 5,193,280 and 11,216,000

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Solution

The third proportional to 5,193,280 and 11,216,000 is: 24,223,353.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193,280 : 11,216,000 = 11,216,000 : x
  2. Step 2: Convert to fraction form
    5,193,280/11,216,000 = 11,216,000/x
  3. Step 3: Cross multiply
    5,193,280x = 11,216,000 × 11,216,000
  4. Step 4: Simplify right side
    5,193,280x = 125,798,656,000,000
  5. Step 5: Solve for x
    x = 125,798,656,000,000/5,193,280
  6. Step 6: Final answer
    x = 24,223,353.26

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.