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Finding the Third Proportional to 382,434,252 and 845,257,238

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Solution

The third proportional to 382,434,252 and 845,257,238 is: 1,868,189,877.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,434,252 : 845,257,238 = 845,257,238 : x
  2. Step 2: Convert to fraction form
    382,434,252/845,257,238 = 845,257,238/x
  3. Step 3: Cross multiply
    382,434,252x = 845,257,238 × 845,257,238
  4. Step 4: Simplify right side
    382,434,252x = 714,459,798,391,388,672
  5. Step 5: Solve for x
    x = 714,459,798,391,388,672/382,434,252
  6. Step 6: Final answer
    x = 1,868,189,877.49

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.