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Finding the Third Proportional to 864,563,049 and 1,860,431,381

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Solution

The third proportional to 864,563,049 and 1,860,431,381 is: 4,003,415,282.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,563,049 : 1,860,431,381 = 1,860,431,381 : x
  2. Step 2: Convert to fraction form
    864,563,049/1,860,431,381 = 1,860,431,381/x
  3. Step 3: Cross multiply
    864,563,049x = 1,860,431,381 × 1,860,431,381
  4. Step 4: Simplify right side
    864,563,049x = 3,461,204,923,409,567,232
  5. Step 5: Solve for x
    x = 3,461,204,923,409,567,232/864,563,049
  6. Step 6: Final answer
    x = 4,003,415,282.91

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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.