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Finding the Third Proportional to 4,097,660,562 and 8,816,807,016

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Solution

The third proportional to 4,097,660,562 and 8,816,807,016 is: 18,970,845,627.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097,660,562 : 8,816,807,016 = 8,816,807,016 : x
  2. Step 2: Convert to fraction form
    4,097,660,562/8,816,807,016 = 8,816,807,016/x
  3. Step 3: Cross multiply
    4,097,660,562x = 8,816,807,016 × 8,816,807,016
  4. Step 4: Simplify right side
    4,097,660,562x = 77,736,085,957,386,829,824
  5. Step 5: Solve for x
    x = 77,736,085,957,386,829,824/4,097,660,562
  6. Step 6: Final answer
    x = 18,970,845,627.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.