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Finding the Third Proportional to 30,665,041 and 65,584,890

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Solution

The third proportional to 30,665,041 and 65,584,890 is: 140,269,755.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,665,041 : 65,584,890 = 65,584,890 : x
  2. Step 2: Convert to fraction form
    30,665,041/65,584,890 = 65,584,890/x
  3. Step 3: Cross multiply
    30,665,041x = 65,584,890 × 65,584,890
  4. Step 4: Simplify right side
    30,665,041x = 4,301,377,796,312,100
  5. Step 5: Solve for x
    x = 4,301,377,796,312,100/30,665,041
  6. Step 6: Final answer
    x = 140,269,755.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.