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Finding the Third Proportional to 394,851,519,252 and 601,528,977,054

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Solution

The third proportional to 394,851,519,252 and 601,528,977,054 is: 916,387,787,797.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,851,519,252 : 601,528,977,054 = 601,528,977,054 : x
  2. Step 2: Convert to fraction form
    394,851,519,252/601,528,977,054 = 601,528,977,054/x
  3. Step 3: Cross multiply
    394,851,519,252x = 601,528,977,054 × 601,528,977,054
  4. Step 4: Simplify right side
    394,851,519,252x = 361,837,110,235,631,655,583,744
  5. Step 5: Solve for x
    x = 361,837,110,235,631,655,583,744/394,851,519,252
  6. Step 6: Final answer
    x = 916,387,787,797.02

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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.