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Finding the Third Proportional to 1,595,680,174 and 3,491,951,514

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Solution

The third proportional to 1,595,680,174 and 3,491,951,514 is: 7,641,710,146.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595,680,174 : 3,491,951,514 = 3,491,951,514 : x
  2. Step 2: Convert to fraction form
    1,595,680,174/3,491,951,514 = 3,491,951,514/x
  3. Step 3: Cross multiply
    1,595,680,174x = 3,491,951,514 × 3,491,951,514
  4. Step 4: Simplify right side
    1,595,680,174x = 12,193,725,376,126,892,032
  5. Step 5: Solve for x
    x = 12,193,725,376,126,892,032/1,595,680,174
  6. Step 6: Final answer
    x = 7,641,710,146.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.