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Finding the Third Proportional to 35,508,508 and 76,410,160

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Solution

The third proportional to 35,508,508 and 76,410,160 is: 164,425,735.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,508,508 : 76,410,160 = 76,410,160 : x
  2. Step 2: Convert to fraction form
    35,508,508/76,410,160 = 76,410,160/x
  3. Step 3: Cross multiply
    35,508,508x = 76,410,160 × 76,410,160
  4. Step 4: Simplify right side
    35,508,508x = 5,838,512,551,225,600
  5. Step 5: Solve for x
    x = 5,838,512,551,225,600/35,508,508
  6. Step 6: Final answer
    x = 164,425,735.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.