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Finding the Third Proportional to 4,365,742 and 9,183,930

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Solution

The third proportional to 4,365,742 and 9,183,930 is: 19,319,641.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,365,742 : 9,183,930 = 9,183,930 : x
  2. Step 2: Convert to fraction form
    4,365,742/9,183,930 = 9,183,930/x
  3. Step 3: Cross multiply
    4,365,742x = 9,183,930 × 9,183,930
  4. Step 4: Simplify right side
    4,365,742x = 84,344,570,244,900
  5. Step 5: Solve for x
    x = 84,344,570,244,900/4,365,742
  6. Step 6: Final answer
    x = 19,319,641.48

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.