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Finding the Third Proportional to 51,445,410,138 and 107,118,583,470

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Solution

The third proportional to 51,445,410,138 and 107,118,583,470 is: 223,040,129,213.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,445,410,138 : 107,118,583,470 = 107,118,583,470 : x
  2. Step 2: Convert to fraction form
    51,445,410,138/107,118,583,470 = 107,118,583,470/x
  3. Step 3: Cross multiply
    51,445,410,138x = 107,118,583,470 × 107,118,583,470
  4. Step 4: Simplify right side
    51,445,410,138x = 11,474,390,924,619,356,831,744
  5. Step 5: Solve for x
    x = 11,474,390,924,619,356,831,744/51,445,410,138
  6. Step 6: Final answer
    x = 223,040,129,213.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.