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Finding the Third Proportional to 376,152,966 and 580,999,266

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Solution

The third proportional to 376,152,966 and 580,999,266 is: 897,401,263.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,152,966 : 580,999,266 = 580,999,266 : x
  2. Step 2: Convert to fraction form
    376,152,966/580,999,266 = 580,999,266/x
  3. Step 3: Cross multiply
    376,152,966x = 580,999,266 × 580,999,266
  4. Step 4: Simplify right side
    376,152,966x = 337,560,147,092,538,752
  5. Step 5: Solve for x
    x = 337,560,147,092,538,752/376,152,966
  6. Step 6: Final answer
    x = 897,401,263.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.