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Finding the Third Proportional to 5,047,914 and 10,947,540

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Solution

The third proportional to 5,047,914 and 10,947,540 is: 23,742,209.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047,914 : 10,947,540 = 10,947,540 : x
  2. Step 2: Convert to fraction form
    5,047,914/10,947,540 = 10,947,540/x
  3. Step 3: Cross multiply
    5,047,914x = 10,947,540 × 10,947,540
  4. Step 4: Simplify right side
    5,047,914x = 119,848,632,051,600
  5. Step 5: Solve for x
    x = 119,848,632,051,600/5,047,914
  6. Step 6: Final answer
    x = 23,742,209.56

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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.