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Finding the Third Proportional to 1,086,514,366 and 2,353,530,134

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Solution

The third proportional to 1,086,514,366 and 2,353,530,134 is: 5,098,049,565.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086,514,366 : 2,353,530,134 = 2,353,530,134 : x
  2. Step 2: Convert to fraction form
    1,086,514,366/2,353,530,134 = 2,353,530,134/x
  3. Step 3: Cross multiply
    1,086,514,366x = 2,353,530,134 × 2,353,530,134
  4. Step 4: Simplify right side
    1,086,514,366x = 5,539,104,091,646,057,472
  5. Step 5: Solve for x
    x = 5,539,104,091,646,057,472/1,086,514,366
  6. Step 6: Final answer
    x = 5,098,049,565.64

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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.