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Finding the Third Proportional to 5,153,045 and 11,194,012

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Solution

The third proportional to 5,153,045 and 11,194,012 is: 24,316,865.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153,045 : 11,194,012 = 11,194,012 : x
  2. Step 2: Convert to fraction form
    5,153,045/11,194,012 = 11,194,012/x
  3. Step 3: Cross multiply
    5,153,045x = 11,194,012 × 11,194,012
  4. Step 4: Simplify right side
    5,153,045x = 125,305,904,656,144
  5. Step 5: Solve for x
    x = 125,305,904,656,144/5,153,045
  6. Step 6: Final answer
    x = 24,316,865.98

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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.