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Finding the Third Proportional to 369,933,560 and 770,471,512

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Solution

The third proportional to 369,933,560 and 770,471,512 is: 1,604,683,691.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,933,560 : 770,471,512 = 770,471,512 : x
  2. Step 2: Convert to fraction form
    369,933,560/770,471,512 = 770,471,512/x
  3. Step 3: Cross multiply
    369,933,560x = 770,471,512 × 770,471,512
  4. Step 4: Simplify right side
    369,933,560x = 593,626,350,803,566,080
  5. Step 5: Solve for x
    x = 593,626,350,803,566,080/369,933,560
  6. Step 6: Final answer
    x = 1,604,683,691.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.