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Finding the Third Proportional to 9,089,367.75 and 19,438,444.13

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Solution

The third proportional to 9,089,367.75 and 19,438,444.13 is: 41,570,890.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,089,367.75 : 19,438,444.13 = 19,438,444.13 : x
  2. Step 2: Convert to fraction form
    9,089,367.75/19,438,444.13 = 19,438,444.13/x
  3. Step 3: Cross multiply
    9,089,367.75x = 19,438,444.13 × 19,438,444.13
  4. Step 4: Simplify right side
    9,089,367.75x = 377,853,110,000,747
  5. Step 5: Solve for x
    x = 377,853,110,000,747/9,089,367.75
  6. Step 6: Final answer
    x = 41,570,890.34

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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.