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Finding the Third Proportional to 81,455,265,585 and 175,359,431,367

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Solution

The third proportional to 81,455,265,585 and 175,359,431,367 is: 377,519,242,599.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,455,265,585 : 175,359,431,367 = 175,359,431,367 : x
  2. Step 2: Convert to fraction form
    81,455,265,585/175,359,431,367 = 175,359,431,367/x
  3. Step 3: Cross multiply
    81,455,265,585x = 175,359,431,367 × 175,359,431,367
  4. Step 4: Simplify right side
    81,455,265,585x = 30,750,930,169,357,584,564,224
  5. Step 5: Solve for x
    x = 30,750,930,169,357,584,564,224/81,455,265,585
  6. Step 6: Final answer
    x = 377,519,242,599.10

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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.