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Finding the Third Proportional to 5,186,101,662.07 and 11,158,771,406.20

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Solution

The third proportional to 5,186,101,662.07 and 11,158,771,406.20 is: 24,009,976,550.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186,101,662.07 : 11,158,771,406.20 = 11,158,771,406.20 : x
  2. Step 2: Convert to fraction form
    5,186,101,662.07/11,158,771,406.20 = 11,158,771,406.20/x
  3. Step 3: Cross multiply
    5,186,101,662.07x = 11,158,771,406.20 × 11,158,771,406.20
  4. Step 4: Simplify right side
    5,186,101,662.07x = 124,518,179,295,893,651,456
  5. Step 5: Solve for x
    x = 124,518,179,295,893,651,456/5,186,101,662.07
  6. Step 6: Final answer
    x = 24,009,976,550.71

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.