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Finding the Third Proportional to 5,524,152,099 and 11,836,254,054

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Solution

The third proportional to 5,524,152,099 and 11,836,254,054 is: 25,360,798,819.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,524,152,099 : 11,836,254,054 = 11,836,254,054 : x
  2. Step 2: Convert to fraction form
    5,524,152,099/11,836,254,054 = 11,836,254,054/x
  3. Step 3: Cross multiply
    5,524,152,099x = 11,836,254,054 × 11,836,254,054
  4. Step 4: Simplify right side
    5,524,152,099x = 140,096,910,030,831,435,776
  5. Step 5: Solve for x
    x = 140,096,910,030,831,435,776/5,524,152,099
  6. Step 6: Final answer
    x = 25,360,798,819.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.