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Finding the Third Proportional to 81,455,265,660 and 175,359,431,523

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Solution

The third proportional to 81,455,265,660 and 175,359,431,523 is: 377,519,242,923.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,455,265,660 : 175,359,431,523 = 175,359,431,523 : x
  2. Step 2: Convert to fraction form
    81,455,265,660/175,359,431,523 = 175,359,431,523/x
  3. Step 3: Cross multiply
    81,455,265,660x = 175,359,431,523 × 175,359,431,523
  4. Step 4: Simplify right side
    81,455,265,660x = 30,750,930,224,069,725,913,088
  5. Step 5: Solve for x
    x = 30,750,930,224,069,725,913,088/81,455,265,660
  6. Step 6: Final answer
    x = 377,519,242,923.18

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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.