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Finding the Third Proportional to 7,368,097,627.62 and 16,027,163,859.24

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Solution

The third proportional to 7,368,097,627.62 and 16,027,163,859.24 is: 34,862,456,274.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,368,097,627.62 : 16,027,163,859.24 = 16,027,163,859.24 : x
  2. Step 2: Convert to fraction form
    7,368,097,627.62/16,027,163,859.24 = 16,027,163,859.24/x
  3. Step 3: Cross multiply
    7,368,097,627.62x = 16,027,163,859.24 × 16,027,163,859.24
  4. Step 4: Simplify right side
    7,368,097,627.62x = 256,869,981,370,768,556,032
  5. Step 5: Solve for x
    x = 256,869,981,370,768,556,032/7,368,097,627.62
  6. Step 6: Final answer
    x = 34,862,456,274.74

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