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Finding the Third Proportional to 16,348,838,800.50 and 35,792,788,041

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Solution

The third proportional to 16,348,838,800.50 and 35,792,788,041 is: 78,361,753,478.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,348,838,800.50 : 35,792,788,041 = 35,792,788,041 : x
  2. Step 2: Convert to fraction form
    16,348,838,800.50/35,792,788,041 = 35,792,788,041/x
  3. Step 3: Cross multiply
    16,348,838,800.50x = 35,792,788,041 × 35,792,788,041
  4. Step 4: Simplify right side
    16,348,838,800.50x = 1,281,123,675,747,952,623,616
  5. Step 5: Solve for x
    x = 1,281,123,675,747,952,623,616/16,348,838,800.50
  6. Step 6: Final answer
    x = 78,361,753,478.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.