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Finding the Third Proportional to 25,163,689,899 and 39,071,425,738.50

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Solution

The third proportional to 25,163,689,899 and 39,071,425,738.50 is: 60,665,836,980.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,163,689,899 : 39,071,425,738.50 = 39,071,425,738.50 : x
  2. Step 2: Convert to fraction form
    25,163,689,899/39,071,425,738.50 = 39,071,425,738.50/x
  3. Step 3: Cross multiply
    25,163,689,899x = 39,071,425,738.50 × 39,071,425,738.50
  4. Step 4: Simplify right side
    25,163,689,899x = 1,526,576,309,239,120,396,288
  5. Step 5: Solve for x
    x = 1,526,576,309,239,120,396,288/25,163,689,899
  6. Step 6: Final answer
    x = 60,665,836,980.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.