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Finding the Third Proportional to 365,207,202 and 743,168,947

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Solution

The third proportional to 365,207,202 and 743,168,947 is: 1,512,292,421.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,207,202 : 743,168,947 = 743,168,947 : x
  2. Step 2: Convert to fraction form
    365,207,202/743,168,947 = 743,168,947/x
  3. Step 3: Cross multiply
    365,207,202x = 743,168,947 × 743,168,947
  4. Step 4: Simplify right side
    365,207,202x = 552,300,083,785,088,832
  5. Step 5: Solve for x
    x = 552,300,083,785,088,832/365,207,202
  6. Step 6: Final answer
    x = 1,512,292,421.29

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.