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Finding the Third Proportional to 1,086,514,360 and 2,353,530,122

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Solution

The third proportional to 1,086,514,360 and 2,353,530,122 is: 5,098,049,541.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086,514,360 : 2,353,530,122 = 2,353,530,122 : x
  2. Step 2: Convert to fraction form
    1,086,514,360/2,353,530,122 = 2,353,530,122/x
  3. Step 3: Cross multiply
    1,086,514,360x = 2,353,530,122 × 2,353,530,122
  4. Step 4: Simplify right side
    1,086,514,360x = 5,539,104,035,161,334,784
  5. Step 5: Solve for x
    x = 5,539,104,035,161,334,784/1,086,514,360
  6. Step 6: Final answer
    x = 5,098,049,541.80

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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.