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Finding the Third Proportional to 36,363,579,222 and 84,961,728,986.25

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Solution

The third proportional to 36,363,579,222 and 84,961,728,986.25 is: 198,508,935,225.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,363,579,222 : 84,961,728,986.25 = 84,961,728,986.25 : x
  2. Step 2: Convert to fraction form
    36,363,579,222/84,961,728,986.25 = 84,961,728,986.25/x
  3. Step 3: Cross multiply
    36,363,579,222x = 84,961,728,986.25 × 84,961,728,986.25
  4. Step 4: Simplify right side
    36,363,579,222x = 7,218,495,392,332,993,527,808
  5. Step 5: Solve for x
    x = 7,218,495,392,332,993,527,808/36,363,579,222
  6. Step 6: Final answer
    x = 198,508,935,225.11

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.