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Finding the Third Proportional to 313,450,166 and 731,957,423

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Solution

The third proportional to 313,450,166 and 731,957,423 is: 1,709,240,342.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,450,166 : 731,957,423 = 731,957,423 : x
  2. Step 2: Convert to fraction form
    313,450,166/731,957,423 = 731,957,423/x
  3. Step 3: Cross multiply
    313,450,166x = 731,957,423 × 731,957,423
  4. Step 4: Simplify right side
    313,450,166x = 535,761,669,084,800,960
  5. Step 5: Solve for x
    x = 535,761,669,084,800,960/313,450,166
  6. Step 6: Final answer
    x = 1,709,240,342.48

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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.