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Finding the Third Proportional to 212,560,529,022 and 468,447,663,531

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Solution

The third proportional to 212,560,529,022 and 468,447,663,531 is: 1,032,379,880,109.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,560,529,022 : 468,447,663,531 = 468,447,663,531 : x
  2. Step 2: Convert to fraction form
    212,560,529,022/468,447,663,531 = 468,447,663,531/x
  3. Step 3: Cross multiply
    212,560,529,022x = 468,447,663,531 × 468,447,663,531
  4. Step 4: Simplify right side
    212,560,529,022x = 219,443,213,467,652,982,833,152
  5. Step 5: Solve for x
    x = 219,443,213,467,652,982,833,152/212,560,529,022
  6. Step 6: Final answer
    x = 1,032,379,880,109.07

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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.