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Finding the Third Proportional to 3,615,849 and 5,470,427.25

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Solution

The third proportional to 3,615,849 and 5,470,427.25 is: 8,276,223.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615,849 : 5,470,427.25 = 5,470,427.25 : x
  2. Step 2: Convert to fraction form
    3,615,849/5,470,427.25 = 5,470,427.25/x
  3. Step 3: Cross multiply
    3,615,849x = 5,470,427.25 × 5,470,427.25
  4. Step 4: Simplify right side
    3,615,849x = 29,925,574,297,542.56
  5. Step 5: Solve for x
    x = 29,925,574,297,542.56/3,615,849
  6. Step 6: Final answer
    x = 8,276,223.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.