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Finding the Third Proportional to 561,518,182 and 1,211,820,232

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Solution

The third proportional to 561,518,182 and 1,211,820,232 is: 2,615,246,169.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,518,182 : 1,211,820,232 = 1,211,820,232 : x
  2. Step 2: Convert to fraction form
    561,518,182/1,211,820,232 = 1,211,820,232/x
  3. Step 3: Cross multiply
    561,518,182x = 1,211,820,232 × 1,211,820,232
  4. Step 4: Simplify right side
    561,518,182x = 1,468,508,274,684,533,760
  5. Step 5: Solve for x
    x = 1,468,508,274,684,533,760/561,518,182
  6. Step 6: Final answer
    x = 2,615,246,169.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.