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Finding the Third Proportional to 37,656,930,047.50 and 81,933,014,793.50

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Solution

The third proportional to 37,656,930,047.50 and 81,933,014,793.50 is: 178,267,822,275.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,656,930,047.50 : 81,933,014,793.50 = 81,933,014,793.50 : x
  2. Step 2: Convert to fraction form
    37,656,930,047.50/81,933,014,793.50 = 81,933,014,793.50/x
  3. Step 3: Cross multiply
    37,656,930,047.50x = 81,933,014,793.50 × 81,933,014,793.50
  4. Step 4: Simplify right side
    37,656,930,047.50x = 6,713,018,913,151,889,965,056
  5. Step 5: Solve for x
    x = 6,713,018,913,151,889,965,056/37,656,930,047.50
  6. Step 6: Final answer
    x = 178,267,822,275.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.