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Finding the Third Proportional to 561,518,176 and 1,211,820,220

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Solution

The third proportional to 561,518,176 and 1,211,820,220 is: 2,615,246,145.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,518,176 : 1,211,820,220 = 1,211,820,220 : x
  2. Step 2: Convert to fraction form
    561,518,176/1,211,820,220 = 1,211,820,220/x
  3. Step 3: Cross multiply
    561,518,176x = 1,211,820,220 × 1,211,820,220
  4. Step 4: Simplify right side
    561,518,176x = 1,468,508,245,600,848,384
  5. Step 5: Solve for x
    x = 1,468,508,245,600,848,384/561,518,176
  6. Step 6: Final answer
    x = 2,615,246,145.84

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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.