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Finding the Third Proportional to 7,544,154,212 and 15,870,110,622

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Solution

The third proportional to 7,544,154,212 and 15,870,110,622 is: 33,384,843,956.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,544,154,212 : 15,870,110,622 = 15,870,110,622 : x
  2. Step 2: Convert to fraction form
    7,544,154,212/15,870,110,622 = 15,870,110,622/x
  3. Step 3: Cross multiply
    7,544,154,212x = 15,870,110,622 × 15,870,110,622
  4. Step 4: Simplify right side
    7,544,154,212x = 251,860,411,154,517,229,568
  5. Step 5: Solve for x
    x = 251,860,411,154,517,229,568/7,544,154,212
  6. Step 6: Final answer
    x = 33,384,843,956.91

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.