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Finding the Third Proportional to 43,872,391,028 and 66,836,553,006

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Solution

The third proportional to 43,872,391,028 and 66,836,553,006 is: 101,820,865,310.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,872,391,028 : 66,836,553,006 = 66,836,553,006 : x
  2. Step 2: Convert to fraction form
    43,872,391,028/66,836,553,006 = 66,836,553,006/x
  3. Step 3: Cross multiply
    43,872,391,028x = 66,836,553,006 × 66,836,553,006
  4. Step 4: Simplify right side
    43,872,391,028x = 4,467,124,817,723,847,606,272
  5. Step 5: Solve for x
    x = 4,467,124,817,723,847,606,272/43,872,391,028
  6. Step 6: Final answer
    x = 101,820,865,310.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.