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Finding the Third Proportional to 35,297,447.50 and 51,591,564

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Solution

The third proportional to 35,297,447.50 and 51,591,564 is: 75,407,420.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,297,447.50 : 51,591,564 = 51,591,564 : x
  2. Step 2: Convert to fraction form
    35,297,447.50/51,591,564 = 51,591,564/x
  3. Step 3: Cross multiply
    35,297,447.50x = 51,591,564 × 51,591,564
  4. Step 4: Simplify right side
    35,297,447.50x = 2,661,689,475,966,096
  5. Step 5: Solve for x
    x = 2,661,689,475,966,096/35,297,447.50
  6. Step 6: Final answer
    x = 75,407,420.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.