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Finding the Third Proportional to 3,631,795,914,420 and 8,003,867,502,240

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Solution

The third proportional to 3,631,795,914,420 and 8,003,867,502,240 is: 17,639,178,109,941.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,631,795,914,420 : 8,003,867,502,240 = 8,003,867,502,240 : x
  2. Step 2: Convert to fraction form
    3,631,795,914,420/8,003,867,502,240 = 8,003,867,502,240/x
  3. Step 3: Cross multiply
    3,631,795,914,420x = 8,003,867,502,240 × 8,003,867,502,240
  4. Step 4: Simplify right side
    3,631,795,914,420x = 64,061,894,993,413,579,558,879,232
  5. Step 5: Solve for x
    x = 64,061,894,993,413,579,558,879,232/3,631,795,914,420
  6. Step 6: Final answer
    x = 17,639,178,109,941.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.