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Finding the Third Proportional to 2,063,255,868 and 4,531,844,223

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Solution

The third proportional to 2,063,255,868 and 4,531,844,223 is: 9,953,982,140.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063,255,868 : 4,531,844,223 = 4,531,844,223 : x
  2. Step 2: Convert to fraction form
    2,063,255,868/4,531,844,223 = 4,531,844,223/x
  3. Step 3: Cross multiply
    2,063,255,868x = 4,531,844,223 × 4,531,844,223
  4. Step 4: Simplify right side
    2,063,255,868x = 20,537,612,061,538,471,936
  5. Step 5: Solve for x
    x = 20,537,612,061,538,471,936/2,063,255,868
  6. Step 6: Final answer
    x = 9,953,982,140.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.