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Finding the Third Proportional to 25,009,668 and 54,194,214.38

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Solution

The third proportional to 25,009,668 and 54,194,214.38 is: 117,435,100.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,009,668 : 54,194,214.38 = 54,194,214.38 : x
  2. Step 2: Convert to fraction form
    25,009,668/54,194,214.38 = 54,194,214.38/x
  3. Step 3: Cross multiply
    25,009,668x = 54,194,214.38 × 54,194,214.38
  4. Step 4: Simplify right side
    25,009,668x = 2,937,012,871,723,456.50
  5. Step 5: Solve for x
    x = 2,937,012,871,723,456.50/25,009,668
  6. Step 6: Final answer
    x = 117,435,100.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.