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Finding the Third Proportional to 9,590,586.75 and 20,549,142

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Solution

The third proportional to 9,590,586.75 and 20,549,142 is: 44,029,343.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590,586.75 : 20,549,142 = 20,549,142 : x
  2. Step 2: Convert to fraction form
    9,590,586.75/20,549,142 = 20,549,142/x
  3. Step 3: Cross multiply
    9,590,586.75x = 20,549,142 × 20,549,142
  4. Step 4: Simplify right side
    9,590,586.75x = 422,267,236,936,164
  5. Step 5: Solve for x
    x = 422,267,236,936,164/9,590,586.75
  6. Step 6: Final answer
    x = 44,029,343.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.