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Finding the Third Proportional to 224,662,003,564.79 and 481,134,205,346.07

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Solution

The third proportional to 224,662,003,564.79 and 481,134,205,346.07 is: 1,030,392,856,294.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,662,003,564.79 : 481,134,205,346.07 = 481,134,205,346.07 : x
  2. Step 2: Convert to fraction form
    224,662,003,564.79/481,134,205,346.07 = 481,134,205,346.07/x
  3. Step 3: Cross multiply
    224,662,003,564.79x = 481,134,205,346.07 × 481,134,205,346.07
  4. Step 4: Simplify right side
    224,662,003,564.79x = 231,490,123,553,994,256,154,624
  5. Step 5: Solve for x
    x = 231,490,123,553,994,256,154,624/224,662,003,564.79
  6. Step 6: Final answer
    x = 1,030,392,856,294.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.