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Finding the Third Proportional to 416,379,423.11 and 914,484,968.82

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Solution

The third proportional to 416,379,423.11 and 914,484,968.82 is: 2,008,463,223.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,379,423.11 : 914,484,968.82 = 914,484,968.82 : x
  2. Step 2: Convert to fraction form
    416,379,423.11/914,484,968.82 = 914,484,968.82/x
  3. Step 3: Cross multiply
    416,379,423.11x = 914,484,968.82 × 914,484,968.82
  4. Step 4: Simplify right side
    416,379,423.11x = 836,282,758,205,398,144
  5. Step 5: Solve for x
    x = 836,282,758,205,398,144/416,379,423.11
  6. Step 6: Final answer
    x = 2,008,463,223.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.