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Finding the Third Proportional to 1,233,187,379 and 2,877,536,655

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Solution

The third proportional to 1,233,187,379 and 2,877,536,655 is: 6,714,484,223.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233,187,379 : 2,877,536,655 = 2,877,536,655 : x
  2. Step 2: Convert to fraction form
    1,233,187,379/2,877,536,655 = 2,877,536,655/x
  3. Step 3: Cross multiply
    1,233,187,379x = 2,877,536,655 × 2,877,536,655
  4. Step 4: Simplify right side
    1,233,187,379x = 8,280,217,200,868,588,544
  5. Step 5: Solve for x
    x = 8,280,217,200,868,588,544/1,233,187,379
  6. Step 6: Final answer
    x = 6,714,484,223.46

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.