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Finding the Third Proportional to 36,696,257,164 and 79,000,844,993

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Solution

The third proportional to 36,696,257,164 and 79,000,844,993 is: 170,075,478,861.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,696,257,164 : 79,000,844,993 = 79,000,844,993 : x
  2. Step 2: Convert to fraction form
    36,696,257,164/79,000,844,993 = 79,000,844,993/x
  3. Step 3: Cross multiply
    36,696,257,164x = 79,000,844,993 × 79,000,844,993
  4. Step 4: Simplify right side
    36,696,257,164x = 6,241,133,509,608,013,299,712
  5. Step 5: Solve for x
    x = 6,241,133,509,608,013,299,712/36,696,257,164
  6. Step 6: Final answer
    x = 170,075,478,861.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.