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Finding the Third Proportional to 17,538,664,037.50 and 40,924,963,687.50

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Solution

The third proportional to 17,538,664,037.50 and 40,924,963,687.50 is: 95,494,882,007.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,538,664,037.50 : 40,924,963,687.50 = 40,924,963,687.50 : x
  2. Step 2: Convert to fraction form
    17,538,664,037.50/40,924,963,687.50 = 40,924,963,687.50/x
  3. Step 3: Cross multiply
    17,538,664,037.50x = 40,924,963,687.50 × 40,924,963,687.50
  4. Step 4: Simplify right side
    17,538,664,037.50x = 1,674,852,652,823,193,583,616
  5. Step 5: Solve for x
    x = 1,674,852,652,823,193,583,616/17,538,664,037.50
  6. Step 6: Final answer
    x = 95,494,882,007.10

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.