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Finding the Third Proportional to 36,161,726 and 85,348,696

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Solution

The third proportional to 36,161,726 and 85,348,696 is: 201,439,497.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,161,726 : 85,348,696 = 85,348,696 : x
  2. Step 2: Convert to fraction form
    36,161,726/85,348,696 = 85,348,696/x
  3. Step 3: Cross multiply
    36,161,726x = 85,348,696 × 85,348,696
  4. Step 4: Simplify right side
    36,161,726x = 7,284,399,908,900,416
  5. Step 5: Solve for x
    x = 7,284,399,908,900,416/36,161,726
  6. Step 6: Final answer
    x = 201,439,497.35

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.