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Finding the Third Proportional to 313,906,394 and 733,193,717

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Solution

The third proportional to 313,906,394 and 733,193,717 is: 1,712,526,526.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,906,394 : 733,193,717 = 733,193,717 : x
  2. Step 2: Convert to fraction form
    313,906,394/733,193,717 = 733,193,717/x
  3. Step 3: Cross multiply
    313,906,394x = 733,193,717 × 733,193,717
  4. Step 4: Simplify right side
    313,906,394x = 537,573,026,648,276,096
  5. Step 5: Solve for x
    x = 537,573,026,648,276,096/313,906,394
  6. Step 6: Final answer
    x = 1,712,526,526.77

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.