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Finding the Third Proportional to 11,347,058,997.50 and 24,831,655,177

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Solution

The third proportional to 11,347,058,997.50 and 24,831,655,177 is: 54,341,049,867.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,347,058,997.50 : 24,831,655,177 = 24,831,655,177 : x
  2. Step 2: Convert to fraction form
    11,347,058,997.50/24,831,655,177 = 24,831,655,177/x
  3. Step 3: Cross multiply
    11,347,058,997.50x = 24,831,655,177 × 24,831,655,177
  4. Step 4: Simplify right side
    11,347,058,997.50x = 616,611,098,829,430,849,536
  5. Step 5: Solve for x
    x = 616,611,098,829,430,849,536/11,347,058,997.50
  6. Step 6: Final answer
    x = 54,341,049,867.22

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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.