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Finding the Third Proportional to 16,652,336,144 and 36,356,175,328

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Solution

The third proportional to 16,652,336,144 and 36,356,175,328 is: 79,374,537,785.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,652,336,144 : 36,356,175,328 = 36,356,175,328 : x
  2. Step 2: Convert to fraction form
    16,652,336,144/36,356,175,328 = 36,356,175,328/x
  3. Step 3: Cross multiply
    16,652,336,144x = 36,356,175,328 × 36,356,175,328
  4. Step 4: Simplify right side
    16,652,336,144x = 1,321,771,484,480,276,004,864
  5. Step 5: Solve for x
    x = 1,321,771,484,480,276,004,864/16,652,336,144
  6. Step 6: Final answer
    x = 79,374,537,785.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.