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Finding the Third Proportional to 748,782,306 and 1,669,633,560

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Solution

The third proportional to 748,782,306 and 1,669,633,560 is: 3,722,946,178.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,782,306 : 1,669,633,560 = 1,669,633,560 : x
  2. Step 2: Convert to fraction form
    748,782,306/1,669,633,560 = 1,669,633,560/x
  3. Step 3: Cross multiply
    748,782,306x = 1,669,633,560 × 1,669,633,560
  4. Step 4: Simplify right side
    748,782,306x = 2,787,676,224,678,273,536
  5. Step 5: Solve for x
    x = 2,787,676,224,678,273,536/748,782,306
  6. Step 6: Final answer
    x = 3,722,946,178.54

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.