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Finding the Third Proportional to 9,272,032 and 14,183,609

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Solution

The third proportional to 9,272,032 and 14,183,609 is: 21,696,944.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,272,032 : 14,183,609 = 14,183,609 : x
  2. Step 2: Convert to fraction form
    9,272,032/14,183,609 = 14,183,609/x
  3. Step 3: Cross multiply
    9,272,032x = 14,183,609 × 14,183,609
  4. Step 4: Simplify right side
    9,272,032x = 201,174,764,264,881
  5. Step 5: Solve for x
    x = 201,174,764,264,881/9,272,032
  6. Step 6: Final answer
    x = 21,696,944.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.