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Finding the Third Proportional to 676,031,832 and 1,424,693,916

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Solution

The third proportional to 676,031,832 and 1,424,693,916 is: 3,002,451,450.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,031,832 : 1,424,693,916 = 1,424,693,916 : x
  2. Step 2: Convert to fraction form
    676,031,832/1,424,693,916 = 1,424,693,916/x
  3. Step 3: Cross multiply
    676,031,832x = 1,424,693,916 × 1,424,693,916
  4. Step 4: Simplify right side
    676,031,832x = 2,029,752,754,287,415,040
  5. Step 5: Solve for x
    x = 2,029,752,754,287,415,040/676,031,832
  6. Step 6: Final answer
    x = 3,002,451,450.08

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.