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Finding the Third Proportional to 37,762,077 and 58,311,251.06

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Solution

The third proportional to 37,762,077 and 58,311,251.06 is: 90,042,769.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,762,077 : 58,311,251.06 = 58,311,251.06 : x
  2. Step 2: Convert to fraction form
    37,762,077/58,311,251.06 = 58,311,251.06/x
  3. Step 3: Cross multiply
    37,762,077x = 58,311,251.06 × 58,311,251.06
  4. Step 4: Simplify right side
    37,762,077x = 3,400,202,000,473,907.50
  5. Step 5: Solve for x
    x = 3,400,202,000,473,907.50/37,762,077
  6. Step 6: Final answer
    x = 90,042,769.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.