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Finding the Third Proportional to 5,846,221,344 and 13,641,654,558

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Solution

The third proportional to 5,846,221,344 and 13,641,654,558 is: 31,831,627,324.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846,221,344 : 13,641,654,558 = 13,641,654,558 : x
  2. Step 2: Convert to fraction form
    5,846,221,344/13,641,654,558 = 13,641,654,558/x
  3. Step 3: Cross multiply
    5,846,221,344x = 13,641,654,558 × 13,641,654,558
  4. Step 4: Simplify right side
    5,846,221,344x = 186,094,739,079,802,159,104
  5. Step 5: Solve for x
    x = 186,094,739,079,802,159,104/5,846,221,344
  6. Step 6: Final answer
    x = 31,831,627,324.68

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.