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Finding the Third Proportional to 1,658,413,134 and 3,629,236,380

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Solution

The third proportional to 1,658,413,134 and 3,629,236,380 is: 7,942,144,470.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658,413,134 : 3,629,236,380 = 3,629,236,380 : x
  2. Step 2: Convert to fraction form
    1,658,413,134/3,629,236,380 = 3,629,236,380/x
  3. Step 3: Cross multiply
    1,658,413,134x = 3,629,236,380 × 3,629,236,380
  4. Step 4: Simplify right side
    1,658,413,134x = 13,171,356,701,915,504,640
  5. Step 5: Solve for x
    x = 13,171,356,701,915,504,640/1,658,413,134
  6. Step 6: Final answer
    x = 7,942,144,470.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.