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Finding the Third Proportional to 9,089,322 and 19,438,357

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Solution

The third proportional to 9,089,322 and 19,438,357 is: 41,570,726.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,089,322 : 19,438,357 = 19,438,357 : x
  2. Step 2: Convert to fraction form
    9,089,322/19,438,357 = 19,438,357/x
  3. Step 3: Cross multiply
    9,089,322x = 19,438,357 × 19,438,357
  4. Step 4: Simplify right side
    9,089,322x = 377,849,722,859,449
  5. Step 5: Solve for x
    x = 377,849,722,859,449/9,089,322
  6. Step 6: Final answer
    x = 41,570,726.93

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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.