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Finding the Third Proportional to 2,164,514,586 and 3,346,171,233

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Solution

The third proportional to 2,164,514,586 and 3,346,171,233 is: 5,172,920,521.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164,514,586 : 3,346,171,233 = 3,346,171,233 : x
  2. Step 2: Convert to fraction form
    2,164,514,586/3,346,171,233 = 3,346,171,233/x
  3. Step 3: Cross multiply
    2,164,514,586x = 3,346,171,233 × 3,346,171,233
  4. Step 4: Simplify right side
    2,164,514,586x = 11,196,861,920,556,740,608
  5. Step 5: Solve for x
    x = 11,196,861,920,556,740,608/2,164,514,586
  6. Step 6: Final answer
    x = 5,172,920,521.29

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