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Finding the Third Proportional to 213,165,828 and 463,867,514

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Solution

The third proportional to 213,165,828 and 463,867,514 is: 1,009,416,342.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,165,828 : 463,867,514 = 463,867,514 : x
  2. Step 2: Convert to fraction form
    213,165,828/463,867,514 = 463,867,514/x
  3. Step 3: Cross multiply
    213,165,828x = 463,867,514 × 463,867,514
  4. Step 4: Simplify right side
    213,165,828x = 215,173,070,544,540,192
  5. Step 5: Solve for x
    x = 215,173,070,544,540,192/213,165,828
  6. Step 6: Final answer
    x = 1,009,416,342.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.