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Finding the Third Proportional to 366,289,723,152 and 552,916,981,080

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Solution

The third proportional to 366,289,723,152 and 552,916,981,080 is: 834,632,174,050.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,289,723,152 : 552,916,981,080 = 552,916,981,080 : x
  2. Step 2: Convert to fraction form
    366,289,723,152/552,916,981,080 = 552,916,981,080/x
  3. Step 3: Cross multiply
    366,289,723,152x = 552,916,981,080 × 552,916,981,080
  4. Step 4: Simplify right side
    366,289,723,152x = 305,717,187,966,621,100,015,616
  5. Step 5: Solve for x
    x = 305,717,187,966,621,100,015,616/366,289,723,152
  6. Step 6: Final answer
    x = 834,632,174,050.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.