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Finding the Third Proportional to 362,770,322 and 740,767,266

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Solution

The third proportional to 362,770,322 and 740,767,266 is: 1,512,626,885.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,770,322 : 740,767,266 = 740,767,266 : x
  2. Step 2: Convert to fraction form
    362,770,322/740,767,266 = 740,767,266/x
  3. Step 3: Cross multiply
    362,770,322x = 740,767,266 × 740,767,266
  4. Step 4: Simplify right side
    362,770,322x = 548,736,142,377,114,752
  5. Step 5: Solve for x
    x = 548,736,142,377,114,752/362,770,322
  6. Step 6: Final answer
    x = 1,512,626,885.66

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.