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Finding the Third Proportional to 32,026,105,401 and 66,702,991,963.50

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Solution

The third proportional to 32,026,105,401 and 66,702,991,963.50 is: 138,926,949,785.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,026,105,401 : 66,702,991,963.50 = 66,702,991,963.50 : x
  2. Step 2: Convert to fraction form
    32,026,105,401/66,702,991,963.50 = 66,702,991,963.50/x
  3. Step 3: Cross multiply
    32,026,105,401x = 66,702,991,963.50 × 66,702,991,963.50
  4. Step 4: Simplify right side
    32,026,105,401x = 4,449,289,136,882,745,606,144
  5. Step 5: Solve for x
    x = 4,449,289,136,882,745,606,144/32,026,105,401
  6. Step 6: Final answer
    x = 138,926,949,785.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.