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Finding the Third Proportional to 1,229,669,519 and 2,677,672,655

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Solution

The third proportional to 1,229,669,519 and 2,677,672,655 is: 5,830,778,706.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229,669,519 : 2,677,672,655 = 2,677,672,655 : x
  2. Step 2: Convert to fraction form
    1,229,669,519/2,677,672,655 = 2,677,672,655/x
  3. Step 3: Cross multiply
    1,229,669,519x = 2,677,672,655 × 2,677,672,655
  4. Step 4: Simplify right side
    1,229,669,519x = 7,169,930,847,334,749,184
  5. Step 5: Solve for x
    x = 7,169,930,847,334,749,184/1,229,669,519
  6. Step 6: Final answer
    x = 5,830,778,706.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.