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Finding the Third Proportional to 11,347,058,998.50 and 24,831,655,179

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Solution

The third proportional to 11,347,058,998.50 and 24,831,655,179 is: 54,341,049,871.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,347,058,998.50 : 24,831,655,179 = 24,831,655,179 : x
  2. Step 2: Convert to fraction form
    11,347,058,998.50/24,831,655,179 = 24,831,655,179/x
  3. Step 3: Cross multiply
    11,347,058,998.50x = 24,831,655,179 × 24,831,655,179
  4. Step 4: Simplify right side
    11,347,058,998.50x = 616,611,098,928,757,473,280
  5. Step 5: Solve for x
    x = 616,611,098,928,757,473,280/11,347,058,998.50
  6. Step 6: Final answer
    x = 54,341,049,871.18

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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.