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Finding the Third Proportional to 9,089,370 and 19,438,448

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Solution

The third proportional to 9,089,370 and 19,438,448 is: 41,570,896.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,089,370 : 19,438,448 = 19,438,448 : x
  2. Step 2: Convert to fraction form
    9,089,370/19,438,448 = 19,438,448/x
  3. Step 3: Cross multiply
    9,089,370x = 19,438,448 × 19,438,448
  4. Step 4: Simplify right side
    9,089,370x = 377,853,260,648,704
  5. Step 5: Solve for x
    x = 377,853,260,648,704/9,089,370
  6. Step 6: Final answer
    x = 41,570,896.62

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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.