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Finding the Third Proportional to 5,116,765 and 11,194,925.50

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Solution

The third proportional to 5,116,765 and 11,194,925.50 is: 24,493,279.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,116,765 : 11,194,925.50 = 11,194,925.50 : x
  2. Step 2: Convert to fraction form
    5,116,765/11,194,925.50 = 11,194,925.50/x
  3. Step 3: Cross multiply
    5,116,765x = 11,194,925.50 × 11,194,925.50
  4. Step 4: Simplify right side
    5,116,765x = 125,326,356,950,550.25
  5. Step 5: Solve for x
    x = 125,326,356,950,550.25/5,116,765
  6. Step 6: Final answer
    x = 24,493,279.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.