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Finding the Third Proportional to 6,867,772,625 and 14,876,484,196

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Solution

The third proportional to 6,867,772,625 and 14,876,484,196 is: 32,224,389,786.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,867,772,625 : 14,876,484,196 = 14,876,484,196 : x
  2. Step 2: Convert to fraction form
    6,867,772,625/14,876,484,196 = 14,876,484,196/x
  3. Step 3: Cross multiply
    6,867,772,625x = 14,876,484,196 × 14,876,484,196
  4. Step 4: Simplify right side
    6,867,772,625x = 221,309,782,033,837,752,320
  5. Step 5: Solve for x
    x = 221,309,782,033,837,752,320/6,867,772,625
  6. Step 6: Final answer
    x = 32,224,389,786.61

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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.