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Finding the Third Proportional to 683,348,704.38 and 1,463,551,147.05

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Solution

The third proportional to 683,348,704.38 and 1,463,551,147.05 is: 3,134,537,237.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,348,704.38 : 1,463,551,147.05 = 1,463,551,147.05 : x
  2. Step 2: Convert to fraction form
    683,348,704.38/1,463,551,147.05 = 1,463,551,147.05/x
  3. Step 3: Cross multiply
    683,348,704.38x = 1,463,551,147.05 × 1,463,551,147.05
  4. Step 4: Simplify right side
    683,348,704.38x = 2,141,981,960,044,835,328
  5. Step 5: Solve for x
    x = 2,141,981,960,044,835,328/683,348,704.38
  6. Step 6: Final answer
    x = 3,134,537,237.44

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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.