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Finding the Third Proportional to 10,596,120.75 and 22,886,194.50

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Solution

The third proportional to 10,596,120.75 and 22,886,194.50 is: 49,431,099.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596,120.75 : 22,886,194.50 = 22,886,194.50 : x
  2. Step 2: Convert to fraction form
    10,596,120.75/22,886,194.50 = 22,886,194.50/x
  3. Step 3: Cross multiply
    10,596,120.75x = 22,886,194.50 × 22,886,194.50
  4. Step 4: Simplify right side
    10,596,120.75x = 523,777,898,691,830.25
  5. Step 5: Solve for x
    x = 523,777,898,691,830.25/10,596,120.75
  6. Step 6: Final answer
    x = 49,431,099.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.