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Finding the Third Proportional to 16,621,896,700,042 and 35,745,331,697,108

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Solution

The third proportional to 16,621,896,700,042 and 35,745,331,697,108 is: 76,870,212,900,134.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,621,896,700,042 : 35,745,331,697,108 = 35,745,331,697,108 : x
  2. Step 2: Convert to fraction form
    16,621,896,700,042/35,745,331,697,108 = 35,745,331,697,108/x
  3. Step 3: Cross multiply
    16,621,896,700,042x = 35,745,331,697,108 × 35,745,331,697,108
  4. Step 4: Simplify right side
    16,621,896,700,042x = 1,277,728,738,136,273,790,009,606,144
  5. Step 5: Solve for x
    x = 1,277,728,738,136,273,790,009,606,144/16,621,896,700,042
  6. Step 6: Final answer
    x = 76,870,212,900,134.62

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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.