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Finding the Third Proportional to 51,048,820.50 and 77,180,997

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Solution

The third proportional to 51,048,820.50 and 77,180,997 is: 116,690,380.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,048,820.50 : 77,180,997 = 77,180,997 : x
  2. Step 2: Convert to fraction form
    51,048,820.50/77,180,997 = 77,180,997/x
  3. Step 3: Cross multiply
    51,048,820.50x = 77,180,997 × 77,180,997
  4. Step 4: Simplify right side
    51,048,820.50x = 5,956,906,297,914,009
  5. Step 5: Solve for x
    x = 5,956,906,297,914,009/51,048,820.50
  6. Step 6: Final answer
    x = 116,690,380.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.