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Finding the Third Proportional to 7,368,097,630 and 16,027,163,864

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Solution

The third proportional to 7,368,097,630 and 16,027,163,864 is: 34,862,456,284.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,368,097,630 : 16,027,163,864 = 16,027,163,864 : x
  2. Step 2: Convert to fraction form
    7,368,097,630/16,027,163,864 = 16,027,163,864/x
  3. Step 3: Cross multiply
    7,368,097,630x = 16,027,163,864 × 16,027,163,864
  4. Step 4: Simplify right side
    7,368,097,630x = 256,869,981,523,507,412,992
  5. Step 5: Solve for x
    x = 256,869,981,523,507,412,992/7,368,097,630
  6. Step 6: Final answer
    x = 34,862,456,284.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.