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Finding the Third Proportional to 11,833,772,185 and 26,034,269,965

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Solution

The third proportional to 11,833,772,185 and 26,034,269,965 is: 57,275,330,470.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833,772,185 : 26,034,269,965 = 26,034,269,965 : x
  2. Step 2: Convert to fraction form
    11,833,772,185/26,034,269,965 = 26,034,269,965/x
  3. Step 3: Cross multiply
    11,833,772,185x = 26,034,269,965 × 26,034,269,965
  4. Step 4: Simplify right side
    11,833,772,185x = 677,783,212,610,501,083,136
  5. Step 5: Solve for x
    x = 677,783,212,610,501,083,136/11,833,772,185
  6. Step 6: Final answer
    x = 57,275,330,470.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.