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Finding the Third Proportional to 1,233,187,377 and 2,877,536,650

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Solution

The third proportional to 1,233,187,377 and 2,877,536,650 is: 6,714,484,211.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233,187,377 : 2,877,536,650 = 2,877,536,650 : x
  2. Step 2: Convert to fraction form
    1,233,187,377/2,877,536,650 = 2,877,536,650/x
  3. Step 3: Cross multiply
    1,233,187,377x = 2,877,536,650 × 2,877,536,650
  4. Step 4: Simplify right side
    1,233,187,377x = 8,280,217,172,093,222,912
  5. Step 5: Solve for x
    x = 8,280,217,172,093,222,912/1,233,187,377
  6. Step 6: Final answer
    x = 6,714,484,211.02

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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.