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Finding the Third Proportional to 5,758,086 and 12,313,212

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Solution

The third proportional to 5,758,086 and 12,313,212 is: 26,330,831.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758,086 : 12,313,212 = 12,313,212 : x
  2. Step 2: Convert to fraction form
    5,758,086/12,313,212 = 12,313,212/x
  3. Step 3: Cross multiply
    5,758,086x = 12,313,212 × 12,313,212
  4. Step 4: Simplify right side
    5,758,086x = 151,615,189,756,944
  5. Step 5: Solve for x
    x = 151,615,189,756,944/5,758,086
  6. Step 6: Final answer
    x = 26,330,831.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.