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Finding the Third Proportional to 22,377,294,435,574 and 48,694,953,203,806

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Solution

The third proportional to 22,377,294,435,574 and 48,694,953,203,806 is: 105,964,484,417,350.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,377,294,435,574 : 48,694,953,203,806 = 48,694,953,203,806 : x
  2. Step 2: Convert to fraction form
    22,377,294,435,574/48,694,953,203,806 = 48,694,953,203,806/x
  3. Step 3: Cross multiply
    22,377,294,435,574x = 48,694,953,203,806 × 48,694,953,203,806
  4. Step 4: Simplify right side
    22,377,294,435,574x = 2,371,198,467,520,856,118,492,397,568
  5. Step 5: Solve for x
    x = 2,371,198,467,520,856,118,492,397,568/22,377,294,435,574
  6. Step 6: Final answer
    x = 105,964,484,417,350.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.