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Finding the Third Proportional to 5,243,628,718 and 11,235,194,210

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Solution

The third proportional to 5,243,628,718 and 11,235,194,210 is: 24,072,945,611.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243,628,718 : 11,235,194,210 = 11,235,194,210 : x
  2. Step 2: Convert to fraction form
    5,243,628,718/11,235,194,210 = 11,235,194,210/x
  3. Step 3: Cross multiply
    5,243,628,718x = 11,235,194,210 × 11,235,194,210
  4. Step 4: Simplify right side
    5,243,628,718x = 126,229,588,936,417,525,760
  5. Step 5: Solve for x
    x = 126,229,588,936,417,525,760/5,243,628,718
  6. Step 6: Final answer
    x = 24,072,945,611.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.