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Finding the Third Proportional to 3,640,530,069,544 and 7,921,940,083,868

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Solution

The third proportional to 3,640,530,069,544 and 7,921,940,083,868 is: 17,238,460,744,332.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640,530,069,544 : 7,921,940,083,868 = 7,921,940,083,868 : x
  2. Step 2: Convert to fraction form
    3,640,530,069,544/7,921,940,083,868 = 7,921,940,083,868/x
  3. Step 3: Cross multiply
    3,640,530,069,544x = 7,921,940,083,868 × 7,921,940,083,868
  4. Step 4: Simplify right side
    3,640,530,069,544x = 62,757,134,692,394,538,580,836,352
  5. Step 5: Solve for x
    x = 62,757,134,692,394,538,580,836,352/3,640,530,069,544
  6. Step 6: Final answer
    x = 17,238,460,744,332.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.