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Finding the Third Proportional to 5,006,484,375 and 10,424,981,388

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Solution

The third proportional to 5,006,484,375 and 10,424,981,388 is: 21,707,894,961.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006,484,375 : 10,424,981,388 = 10,424,981,388 : x
  2. Step 2: Convert to fraction form
    5,006,484,375/10,424,981,388 = 10,424,981,388/x
  3. Step 3: Cross multiply
    5,006,484,375x = 10,424,981,388 × 10,424,981,388
  4. Step 4: Simplify right side
    5,006,484,375x = 108,680,236,940,146,409,472
  5. Step 5: Solve for x
    x = 108,680,236,940,146,409,472/5,006,484,375
  6. Step 6: Final answer
    x = 21,707,894,961.75

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.