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Finding the Third Proportional to 5,174,840,682 and 11,256,366,960

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Solution

The third proportional to 5,174,840,682 and 11,256,366,960 is: 24,484,965,803.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174,840,682 : 11,256,366,960 = 11,256,366,960 : x
  2. Step 2: Convert to fraction form
    5,174,840,682/11,256,366,960 = 11,256,366,960/x
  3. Step 3: Cross multiply
    5,174,840,682x = 11,256,366,960 × 11,256,366,960
  4. Step 4: Simplify right side
    5,174,840,682x = 126,705,797,138,179,637,248
  5. Step 5: Solve for x
    x = 126,705,797,138,179,637,248/5,174,840,682
  6. Step 6: Final answer
    x = 24,484,965,803.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.