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Finding the Third Proportional to 11,347,059,001 and 24,831,655,183

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Solution

The third proportional to 11,347,059,001 and 24,831,655,183 is: 54,341,049,876.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,347,059,001 : 24,831,655,183 = 24,831,655,183 : x
  2. Step 2: Convert to fraction form
    11,347,059,001/24,831,655,183 = 24,831,655,183/x
  3. Step 3: Cross multiply
    11,347,059,001x = 24,831,655,183 × 24,831,655,183
  4. Step 4: Simplify right side
    11,347,059,001x = 616,611,099,127,410,720,768
  5. Step 5: Solve for x
    x = 616,611,099,127,410,720,768/11,347,059,001
  6. Step 6: Final answer
    x = 54,341,049,876.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.