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Finding the Third Proportional to 7,194,722,979 and 16,043,745,882

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Solution

The third proportional to 7,194,722,979 and 16,043,745,882 is: 35,776,468,764.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,194,722,979 : 16,043,745,882 = 16,043,745,882 : x
  2. Step 2: Convert to fraction form
    7,194,722,979/16,043,745,882 = 16,043,745,882/x
  3. Step 3: Cross multiply
    7,194,722,979x = 16,043,745,882 × 16,043,745,882
  4. Step 4: Simplify right side
    7,194,722,979x = 257,401,781,926,191,955,968
  5. Step 5: Solve for x
    x = 257,401,781,926,191,955,968/7,194,722,979
  6. Step 6: Final answer
    x = 35,776,468,764.33

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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.