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Finding the Third Proportional to 19,784,914,696.50 and 42,669,105,823.50

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Solution

The third proportional to 19,784,914,696.50 and 42,669,105,823.50 is: 92,022,261,389.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,784,914,696.50 : 42,669,105,823.50 = 42,669,105,823.50 : x
  2. Step 2: Convert to fraction form
    19,784,914,696.50/42,669,105,823.50 = 42,669,105,823.50/x
  3. Step 3: Cross multiply
    19,784,914,696.50x = 42,669,105,823.50 × 42,669,105,823.50
  4. Step 4: Simplify right side
    19,784,914,696.50x = 1,820,652,591,777,041,612,800
  5. Step 5: Solve for x
    x = 1,820,652,591,777,041,612,800/19,784,914,696.50
  6. Step 6: Final answer
    x = 92,022,261,389.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.