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Finding the Third Proportional to 9,089,324 and 19,438,359

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Solution

The third proportional to 9,089,324 and 19,438,359 is: 41,570,726.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,089,324 : 19,438,359 = 19,438,359 : x
  2. Step 2: Convert to fraction form
    9,089,324/19,438,359 = 19,438,359/x
  3. Step 3: Cross multiply
    9,089,324x = 19,438,359 × 19,438,359
  4. Step 4: Simplify right side
    9,089,324x = 377,849,800,612,881
  5. Step 5: Solve for x
    x = 377,849,800,612,881/9,089,324
  6. Step 6: Final answer
    x = 41,570,726.34

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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.