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Finding the Third Proportional to 535,577,230 and 827,243,180

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Solution

The third proportional to 535,577,230 and 827,243,180 is: 1,277,745,282.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,577,230 : 827,243,180 = 827,243,180 : x
  2. Step 2: Convert to fraction form
    535,577,230/827,243,180 = 827,243,180/x
  3. Step 3: Cross multiply
    535,577,230x = 827,243,180 × 827,243,180
  4. Step 4: Simplify right side
    535,577,230x = 684,331,278,856,512,384
  5. Step 5: Solve for x
    x = 684,331,278,856,512,384/535,577,230
  6. Step 6: Final answer
    x = 1,277,745,282.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.