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Finding the Third Proportional to 237,723,638 and 515,019,673

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Solution

The third proportional to 237,723,638 and 515,019,673 is: 1,115,771,514.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,723,638 : 515,019,673 = 515,019,673 : x
  2. Step 2: Convert to fraction form
    237,723,638/515,019,673 = 515,019,673/x
  3. Step 3: Cross multiply
    237,723,638x = 515,019,673 × 515,019,673
  4. Step 4: Simplify right side
    237,723,638x = 265,245,263,577,026,944
  5. Step 5: Solve for x
    x = 265,245,263,577,026,944/237,723,638
  6. Step 6: Final answer
    x = 1,115,771,514.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.