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Finding the Third Proportional to 382,108,203.38 and 833,388,857.63

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Solution

The third proportional to 382,108,203.38 and 833,388,857.63 is: 1,817,644,797.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,108,203.38 : 833,388,857.63 = 833,388,857.63 : x
  2. Step 2: Convert to fraction form
    382,108,203.38/833,388,857.63 = 833,388,857.63/x
  3. Step 3: Cross multiply
    382,108,203.38x = 833,388,857.63 × 833,388,857.63
  4. Step 4: Simplify right side
    382,108,203.38x = 694,536,988,013,502,464
  5. Step 5: Solve for x
    x = 694,536,988,013,502,464/382,108,203.38
  6. Step 6: Final answer
    x = 1,817,644,797.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.