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Finding the Third Proportional to 395,714,413.13 and 845,770,513.78

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Solution

The third proportional to 395,714,413.13 and 845,770,513.78 is: 1,807,686,903.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,714,413.13 : 845,770,513.78 = 845,770,513.78 : x
  2. Step 2: Convert to fraction form
    395,714,413.13/845,770,513.78 = 845,770,513.78/x
  3. Step 3: Cross multiply
    395,714,413.13x = 845,770,513.78 × 845,770,513.78
  4. Step 4: Simplify right side
    395,714,413.13x = 715,327,761,981,799,552
  5. Step 5: Solve for x
    x = 715,327,761,981,799,552/395,714,413.13
  6. Step 6: Final answer
    x = 1,807,686,903.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.