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Finding the Third Proportional to 11,347,058,994.75 and 24,831,655,174.50

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Solution

The third proportional to 11,347,058,994.75 and 24,831,655,174.50 is: 54,341,049,869.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,347,058,994.75 : 24,831,655,174.50 = 24,831,655,174.50 : x
  2. Step 2: Convert to fraction form
    11,347,058,994.75/24,831,655,174.50 = 24,831,655,174.50/x
  3. Step 3: Cross multiply
    11,347,058,994.75x = 24,831,655,174.50 × 24,831,655,174.50
  4. Step 4: Simplify right side
    11,347,058,994.75x = 616,611,098,705,272,635,392
  5. Step 5: Solve for x
    x = 616,611,098,705,272,635,392/11,347,058,994.75
  6. Step 6: Final answer
    x = 54,341,049,869.45

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