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Finding the Third Proportional to 37,776,415.50 and 78,238,467

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Solution

The third proportional to 37,776,415.50 and 78,238,467 is: 162,039,135.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,776,415.50 : 78,238,467 = 78,238,467 : x
  2. Step 2: Convert to fraction form
    37,776,415.50/78,238,467 = 78,238,467/x
  3. Step 3: Cross multiply
    37,776,415.50x = 78,238,467 × 78,238,467
  4. Step 4: Simplify right side
    37,776,415.50x = 6,121,257,718,510,089
  5. Step 5: Solve for x
    x = 6,121,257,718,510,089/37,776,415.50
  6. Step 6: Final answer
    x = 162,039,135.73

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.