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Finding the Third Proportional to 36,002,818 and 77,635,136

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Solution

The third proportional to 36,002,818 and 77,635,136 is: 167,409,516.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,002,818 : 77,635,136 = 77,635,136 : x
  2. Step 2: Convert to fraction form
    36,002,818/77,635,136 = 77,635,136/x
  3. Step 3: Cross multiply
    36,002,818x = 77,635,136 × 77,635,136
  4. Step 4: Simplify right side
    36,002,818x = 6,027,214,341,738,496
  5. Step 5: Solve for x
    x = 6,027,214,341,738,496/36,002,818
  6. Step 6: Final answer
    x = 167,409,516.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.