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Finding the Third Proportional to 13,835,957,706,202 and 29,754,179,470,647

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Solution

The third proportional to 13,835,957,706,202 and 29,754,179,470,647 is: 63,986,260,638,439.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,835,957,706,202 : 29,754,179,470,647 = 29,754,179,470,647 : x
  2. Step 2: Convert to fraction form
    13,835,957,706,202/29,754,179,470,647 = 29,754,179,470,647/x
  3. Step 3: Cross multiply
    13,835,957,706,202x = 29,754,179,470,647 × 29,754,179,470,647
  4. Step 4: Simplify right side
    13,835,957,706,202x = 885,311,195,971,471,336,028,504,064
  5. Step 5: Solve for x
    x = 885,311,195,971,471,336,028,504,064/13,835,957,706,202
  6. Step 6: Final answer
    x = 63,986,260,638,439.84

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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.