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Finding the Third Proportional to 7,194,722,981 and 16,043,745,886

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Solution

The third proportional to 7,194,722,981 and 16,043,745,886 is: 35,776,468,772.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,194,722,981 : 16,043,745,886 = 16,043,745,886 : x
  2. Step 2: Convert to fraction form
    7,194,722,981/16,043,745,886 = 16,043,745,886/x
  3. Step 3: Cross multiply
    7,194,722,981x = 16,043,745,886 × 16,043,745,886
  4. Step 4: Simplify right side
    7,194,722,981x = 257,401,782,054,541,918,208
  5. Step 5: Solve for x
    x = 257,401,782,054,541,918,208/7,194,722,981
  6. Step 6: Final answer
    x = 35,776,468,772.22

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.