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Finding the Third Proportional to 352,640,632.50 and 823,475,220.75

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Solution

The third proportional to 352,640,632.50 and 823,475,220.75 is: 1,922,953,218.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,640,632.50 : 823,475,220.75 = 823,475,220.75 : x
  2. Step 2: Convert to fraction form
    352,640,632.50/823,475,220.75 = 823,475,220.75/x
  3. Step 3: Cross multiply
    352,640,632.50x = 823,475,220.75 × 823,475,220.75
  4. Step 4: Simplify right side
    352,640,632.50x = 678,111,439,189,261,184
  5. Step 5: Solve for x
    x = 678,111,439,189,261,184/352,640,632.50
  6. Step 6: Final answer
    x = 1,922,953,218.36

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.