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Finding the Third Proportional to 31,468,586.88 and 48,600,373.88

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Solution

The third proportional to 31,468,586.88 and 48,600,373.88 is: 75,058,862.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,468,586.88 : 48,600,373.88 = 48,600,373.88 : x
  2. Step 2: Convert to fraction form
    31,468,586.88/48,600,373.88 = 48,600,373.88/x
  3. Step 3: Cross multiply
    31,468,586.88x = 48,600,373.88 × 48,600,373.88
  4. Step 4: Simplify right side
    31,468,586.88x = 2,361,996,340,789,782.50
  5. Step 5: Solve for x
    x = 2,361,996,340,789,782.50/31,468,586.88
  6. Step 6: Final answer
    x = 75,058,862.67

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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.