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Finding the Third Proportional to 1,377,256,418 and 2,950,996,546

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Solution

The third proportional to 1,377,256,418 and 2,950,996,546 is: 6,322,991,492.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377,256,418 : 2,950,996,546 = 2,950,996,546 : x
  2. Step 2: Convert to fraction form
    1,377,256,418/2,950,996,546 = 2,950,996,546/x
  3. Step 3: Cross multiply
    1,377,256,418x = 2,950,996,546 × 2,950,996,546
  4. Step 4: Simplify right side
    1,377,256,418x = 8,708,380,614,503,929,856
  5. Step 5: Solve for x
    x = 8,708,380,614,503,929,856/1,377,256,418
  6. Step 6: Final answer
    x = 6,322,991,492.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.