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Finding the Third Proportional to 13,835,957,706,794 and 29,754,179,471,844

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Solution

The third proportional to 13,835,957,706,794 and 29,754,179,471,844 is: 63,986,260,640,850.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,835,957,706,794 : 29,754,179,471,844 = 29,754,179,471,844 : x
  2. Step 2: Convert to fraction form
    13,835,957,706,794/29,754,179,471,844 = 29,754,179,471,844/x
  3. Step 3: Cross multiply
    13,835,957,706,794x = 29,754,179,471,844 × 29,754,179,471,844
  4. Step 4: Simplify right side
    13,835,957,706,794x = 885,311,196,042,702,921,956,065,280
  5. Step 5: Solve for x
    x = 885,311,196,042,702,921,956,065,280/13,835,957,706,794
  6. Step 6: Final answer
    x = 63,986,260,640,850.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.