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Finding the Third Proportional to 50,500,242 and 78,348,529

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Solution

The third proportional to 50,500,242 and 78,348,529 is: 121,553,714.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,500,242 : 78,348,529 = 78,348,529 : x
  2. Step 2: Convert to fraction form
    50,500,242/78,348,529 = 78,348,529/x
  3. Step 3: Cross multiply
    50,500,242x = 78,348,529 × 78,348,529
  4. Step 4: Simplify right side
    50,500,242x = 6,138,491,996,463,841
  5. Step 5: Solve for x
    x = 6,138,491,996,463,841/50,500,242
  6. Step 6: Final answer
    x = 121,553,714.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.