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Finding the Third Proportional to 296,619,780 and 626,869,738

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Solution

The third proportional to 296,619,780 and 626,869,738 is: 1,324,812,756.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,619,780 : 626,869,738 = 626,869,738 : x
  2. Step 2: Convert to fraction form
    296,619,780/626,869,738 = 626,869,738/x
  3. Step 3: Cross multiply
    296,619,780x = 626,869,738 × 626,869,738
  4. Step 4: Simplify right side
    296,619,780x = 392,965,668,420,188,672
  5. Step 5: Solve for x
    x = 392,965,668,420,188,672/296,619,780
  6. Step 6: Final answer
    x = 1,324,812,756.65

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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.