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Finding the Third Proportional to 365,407,263 and 862,324,048.13

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Solution

The third proportional to 365,407,263 and 862,324,048.13 is: 2,034,997,218.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,407,263 : 862,324,048.13 = 862,324,048.13 : x
  2. Step 2: Convert to fraction form
    365,407,263/862,324,048.13 = 862,324,048.13/x
  3. Step 3: Cross multiply
    365,407,263x = 862,324,048.13 × 862,324,048.13
  4. Step 4: Simplify right side
    365,407,263x = 743,602,763,974,687,360
  5. Step 5: Solve for x
    x = 743,602,763,974,687,360/365,407,263
  6. Step 6: Final answer
    x = 2,034,997,218.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.