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Finding the Third Proportional to 7,186,231,870 and 15,637,870,146

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Solution

The third proportional to 7,186,231,870 and 15,637,870,146 is: 34,029,375,495.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186,231,870 : 15,637,870,146 = 15,637,870,146 : x
  2. Step 2: Convert to fraction form
    7,186,231,870/15,637,870,146 = 15,637,870,146/x
  3. Step 3: Cross multiply
    7,186,231,870x = 15,637,870,146 × 15,637,870,146
  4. Step 4: Simplify right side
    7,186,231,870x = 244,542,982,703,158,067,200
  5. Step 5: Solve for x
    x = 244,542,982,703,158,067,200/7,186,231,870
  6. Step 6: Final answer
    x = 34,029,375,495.67

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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.