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Finding the Third Proportional to 224,014,815 and 351,412,827

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Solution

The third proportional to 224,014,815 and 351,412,827 is: 551,262,535.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,014,815 : 351,412,827 = 351,412,827 : x
  2. Step 2: Convert to fraction form
    224,014,815/351,412,827 = 351,412,827/x
  3. Step 3: Cross multiply
    224,014,815x = 351,412,827 × 351,412,827
  4. Step 4: Simplify right side
    224,014,815x = 123,490,974,980,131,936
  5. Step 5: Solve for x
    x = 123,490,974,980,131,936/224,014,815
  6. Step 6: Final answer
    x = 551,262,535.83

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.