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Finding the Third Proportional to 23,209,744,422 and 34,839,182,469

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Solution

The third proportional to 23,209,744,422 and 34,839,182,469 is: 52,295,648,458.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,209,744,422 : 34,839,182,469 = 34,839,182,469 : x
  2. Step 2: Convert to fraction form
    23,209,744,422/34,839,182,469 = 34,839,182,469/x
  3. Step 3: Cross multiply
    23,209,744,422x = 34,839,182,469 × 34,839,182,469
  4. Step 4: Simplify right side
    23,209,744,422x = 1,213,768,635,108,276,830,208
  5. Step 5: Solve for x
    x = 1,213,768,635,108,276,830,208/23,209,744,422
  6. Step 6: Final answer
    x = 52,295,648,458.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.