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Finding the Third Proportional to 367,677,334 and 559,155,489

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Solution

The third proportional to 367,677,334 and 559,155,489 is: 850,351,196.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,677,334 : 559,155,489 = 559,155,489 : x
  2. Step 2: Convert to fraction form
    367,677,334/559,155,489 = 559,155,489/x
  3. Step 3: Cross multiply
    367,677,334x = 559,155,489 × 559,155,489
  4. Step 4: Simplify right side
    367,677,334x = 312,654,860,878,829,120
  5. Step 5: Solve for x
    x = 312,654,860,878,829,120/367,677,334
  6. Step 6: Final answer
    x = 850,351,196.46

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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.