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Finding the Third Proportional to 10,028,609 and 15,277,994

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Solution

The third proportional to 10,028,609 and 15,277,994 is: 23,275,122.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,028,609 : 15,277,994 = 15,277,994 : x
  2. Step 2: Convert to fraction form
    10,028,609/15,277,994 = 15,277,994/x
  3. Step 3: Cross multiply
    10,028,609x = 15,277,994 × 15,277,994
  4. Step 4: Simplify right side
    10,028,609x = 233,417,100,664,036
  5. Step 5: Solve for x
    x = 233,417,100,664,036/10,028,609
  6. Step 6: Final answer
    x = 23,275,122.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.