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Finding the Third Proportional to 6,829,368,473 and 15,229,029,180

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Solution

The third proportional to 6,829,368,473 and 15,229,029,180 is: 33,959,703,694.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,829,368,473 : 15,229,029,180 = 15,229,029,180 : x
  2. Step 2: Convert to fraction form
    6,829,368,473/15,229,029,180 = 15,229,029,180/x
  3. Step 3: Cross multiply
    6,829,368,473x = 15,229,029,180 × 15,229,029,180
  4. Step 4: Simplify right side
    6,829,368,473x = 231,923,329,765,291,458,560
  5. Step 5: Solve for x
    x = 231,923,329,765,291,458,560/6,829,368,473
  6. Step 6: Final answer
    x = 33,959,703,694.74

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.