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Finding the Third Proportional to 8,957,306,276 and 19,405,105,266

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Solution

The third proportional to 8,957,306,276 and 19,405,105,266 is: 42,039,213,440.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,957,306,276 : 19,405,105,266 = 19,405,105,266 : x
  2. Step 2: Convert to fraction form
    8,957,306,276/19,405,105,266 = 19,405,105,266/x
  3. Step 3: Cross multiply
    8,957,306,276x = 19,405,105,266 × 19,405,105,266
  4. Step 4: Simplify right side
    8,957,306,276x = 376,558,110,384,540,942,336
  5. Step 5: Solve for x
    x = 376,558,110,384,540,942,336/8,957,306,276
  6. Step 6: Final answer
    x = 42,039,213,440.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.