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Finding the Third Proportional to 365,407,264 and 862,324,050

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Solution

The third proportional to 365,407,264 and 862,324,050 is: 2,034,997,222.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,407,264 : 862,324,050 = 862,324,050 : x
  2. Step 2: Convert to fraction form
    365,407,264/862,324,050 = 862,324,050/x
  3. Step 3: Cross multiply
    365,407,264x = 862,324,050 × 862,324,050
  4. Step 4: Simplify right side
    365,407,264x = 743,602,767,208,402,560
  5. Step 5: Solve for x
    x = 743,602,767,208,402,560/365,407,264
  6. Step 6: Final answer
    x = 2,034,997,222.19

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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.