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Finding the Third Proportional to 10,062,006 and 15,690,879.50

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Solution

The third proportional to 10,062,006 and 15,690,879.50 is: 24,468,649.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,062,006 : 15,690,879.50 = 15,690,879.50 : x
  2. Step 2: Convert to fraction form
    10,062,006/15,690,879.50 = 15,690,879.50/x
  3. Step 3: Cross multiply
    10,062,006x = 15,690,879.50 × 15,690,879.50
  4. Step 4: Simplify right side
    10,062,006x = 246,203,699,483,520.25
  5. Step 5: Solve for x
    x = 246,203,699,483,520.25/10,062,006
  6. Step 6: Final answer
    x = 24,468,649.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.