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Finding the Third Proportional to 16,621,896,702,108 and 35,745,331,701,228

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Solution

The third proportional to 16,621,896,702,108 and 35,745,331,701,228 is: 76,870,212,908,300.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,621,896,702,108 : 35,745,331,701,228 = 35,745,331,701,228 : x
  2. Step 2: Convert to fraction form
    16,621,896,702,108/35,745,331,701,228 = 35,745,331,701,228/x
  3. Step 3: Cross multiply
    16,621,896,702,108x = 35,745,331,701,228 × 35,745,331,701,228
  4. Step 4: Simplify right side
    16,621,896,702,108x = 1,277,728,738,430,815,362,904,752,128
  5. Step 5: Solve for x
    x = 1,277,728,738,430,815,362,904,752,128/16,621,896,702,108
  6. Step 6: Final answer
    x = 76,870,212,908,300.23

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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.