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Finding the Third Proportional to 8,207,724,616 and 16,643,838,764

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Solution

The third proportional to 8,207,724,616 and 16,643,838,764 is: 33,750,811,797.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207,724,616 : 16,643,838,764 = 16,643,838,764 : x
  2. Step 2: Convert to fraction form
    8,207,724,616/16,643,838,764 = 16,643,838,764/x
  3. Step 3: Cross multiply
    8,207,724,616x = 16,643,838,764 × 16,643,838,764
  4. Step 4: Simplify right side
    8,207,724,616x = 277,017,368,802,029,043,712
  5. Step 5: Solve for x
    x = 277,017,368,802,029,043,712/8,207,724,616
  6. Step 6: Final answer
    x = 33,750,811,797.71

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.