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Finding the Third Proportional to 38,231,635.50 and 56,630,782.50

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Solution

The third proportional to 38,231,635.50 and 56,630,782.50 is: 83,884,601.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,231,635.50 : 56,630,782.50 = 56,630,782.50 : x
  2. Step 2: Convert to fraction form
    38,231,635.50/56,630,782.50 = 56,630,782.50/x
  3. Step 3: Cross multiply
    38,231,635.50x = 56,630,782.50 × 56,630,782.50
  4. Step 4: Simplify right side
    38,231,635.50x = 3,207,045,526,562,306
  5. Step 5: Solve for x
    x = 3,207,045,526,562,306/38,231,635.50
  6. Step 6: Final answer
    x = 83,884,601.97

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.