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Finding the Third Proportional to 1,440,906,054 and 3,398,056,815

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Solution

The third proportional to 1,440,906,054 and 3,398,056,815 is: 8,013,562,081.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440,906,054 : 3,398,056,815 = 3,398,056,815 : x
  2. Step 2: Convert to fraction form
    1,440,906,054/3,398,056,815 = 3,398,056,815/x
  3. Step 3: Cross multiply
    1,440,906,054x = 3,398,056,815 × 3,398,056,815
  4. Step 4: Simplify right side
    1,440,906,054x = 11,546,790,117,967,943,680
  5. Step 5: Solve for x
    x = 11,546,790,117,967,943,680/1,440,906,054
  6. Step 6: Final answer
    x = 8,013,562,081.94

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.