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Finding the Third Proportional to 43,328,175,163 and 94,348,385,631

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Solution

The third proportional to 43,328,175,163 and 94,348,385,631 is: 205,446,406,124.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,328,175,163 : 94,348,385,631 = 94,348,385,631 : x
  2. Step 2: Convert to fraction form
    43,328,175,163/94,348,385,631 = 94,348,385,631/x
  3. Step 3: Cross multiply
    43,328,175,163x = 94,348,385,631 × 94,348,385,631
  4. Step 4: Simplify right side
    43,328,175,163x = 8,901,617,871,175,887,618,048
  5. Step 5: Solve for x
    x = 8,901,617,871,175,887,618,048/43,328,175,163
  6. Step 6: Final answer
    x = 205,446,406,124.61

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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.