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Finding the Third Proportional to 17,258,809,616,376 and 37,555,864,907,360

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Solution

The third proportional to 17,258,809,616,376 and 37,555,864,907,360 is: 81,723,074,782,722.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,258,809,616,376 : 37,555,864,907,360 = 37,555,864,907,360 : x
  2. Step 2: Convert to fraction form
    17,258,809,616,376/37,555,864,907,360 = 37,555,864,907,360/x
  3. Step 3: Cross multiply
    17,258,809,616,376x = 37,555,864,907,360 × 37,555,864,907,360
  4. Step 4: Simplify right side
    17,258,809,616,376x = 1,410,442,988,939,874,302,664,114,176
  5. Step 5: Solve for x
    x = 1,410,442,988,939,874,302,664,114,176/17,258,809,616,376
  6. Step 6: Final answer
    x = 81,723,074,782,722.98

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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.