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Finding the Third Proportional to 713,448,864 and 1,567,198,116

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Solution

The third proportional to 713,448,864 and 1,567,198,116 is: 3,442,587,210.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,448,864 : 1,567,198,116 = 1,567,198,116 : x
  2. Step 2: Convert to fraction form
    713,448,864/1,567,198,116 = 1,567,198,116/x
  3. Step 3: Cross multiply
    713,448,864x = 1,567,198,116 × 1,567,198,116
  4. Step 4: Simplify right side
    713,448,864x = 2,456,109,934,793,949,696
  5. Step 5: Solve for x
    x = 2,456,109,934,793,949,696/713,448,864
  6. Step 6: Final answer
    x = 3,442,587,210.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.