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Finding the Third Proportional to 1,526,171,694 and 3,305,885,376

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Solution

The third proportional to 1,526,171,694 and 3,305,885,376 is: 7,160,975,506.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526,171,694 : 3,305,885,376 = 3,305,885,376 : x
  2. Step 2: Convert to fraction form
    1,526,171,694/3,305,885,376 = 3,305,885,376/x
  3. Step 3: Cross multiply
    1,526,171,694x = 3,305,885,376 × 3,305,885,376
  4. Step 4: Simplify right side
    1,526,171,694x = 10,928,878,119,250,661,376
  5. Step 5: Solve for x
    x = 10,928,878,119,250,661,376/1,526,171,694
  6. Step 6: Final answer
    x = 7,160,975,506.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.