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Finding the Third Proportional to 5,182,036,843.50 and 11,189,808,099

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Solution

The third proportional to 5,182,036,843.50 and 11,189,808,099 is: 24,162,662,110.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182,036,843.50 : 11,189,808,099 = 11,189,808,099 : x
  2. Step 2: Convert to fraction form
    5,182,036,843.50/11,189,808,099 = 11,189,808,099/x
  3. Step 3: Cross multiply
    5,182,036,843.50x = 11,189,808,099 × 11,189,808,099
  4. Step 4: Simplify right side
    5,182,036,843.50x = 125,211,805,292,445,990,912
  5. Step 5: Solve for x
    x = 125,211,805,292,445,990,912/5,182,036,843.50
  6. Step 6: Final answer
    x = 24,162,662,110.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.