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Finding the Third Proportional to 356,662,299.09 and 723,353,131.41

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Solution

The third proportional to 356,662,299.09 and 723,353,131.41 is: 1,467,045,308.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,662,299.09 : 723,353,131.41 = 723,353,131.41 : x
  2. Step 2: Convert to fraction form
    356,662,299.09/723,353,131.41 = 723,353,131.41/x
  3. Step 3: Cross multiply
    356,662,299.09x = 723,353,131.41 × 723,353,131.41
  4. Step 4: Simplify right side
    356,662,299.09x = 523,239,752,715,227,584
  5. Step 5: Solve for x
    x = 523,239,752,715,227,584/356,662,299.09
  6. Step 6: Final answer
    x = 1,467,045,308.81

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.