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Finding the Third Proportional to 35,137,543,644 and 53,529,617,220

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Solution

The third proportional to 35,137,543,644 and 53,529,617,220 is: 81,548,669,103.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,137,543,644 : 53,529,617,220 = 53,529,617,220 : x
  2. Step 2: Convert to fraction form
    35,137,543,644/53,529,617,220 = 53,529,617,220/x
  3. Step 3: Cross multiply
    35,137,543,644x = 53,529,617,220 × 53,529,617,220
  4. Step 4: Simplify right side
    35,137,543,644x = 2,865,419,919,719,720,288,256
  5. Step 5: Solve for x
    x = 2,865,419,919,719,720,288,256/35,137,543,644
  6. Step 6: Final answer
    x = 81,548,669,103.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.