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Finding the Third Proportional to 30,135,180 and 65,407,623

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Solution

The third proportional to 30,135,180 and 65,407,623 is: 141,965,541.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,135,180 : 65,407,623 = 65,407,623 : x
  2. Step 2: Convert to fraction form
    30,135,180/65,407,623 = 65,407,623/x
  3. Step 3: Cross multiply
    30,135,180x = 65,407,623 × 65,407,623
  4. Step 4: Simplify right side
    30,135,180x = 4,278,157,146,510,129
  5. Step 5: Solve for x
    x = 4,278,157,146,510,129/30,135,180
  6. Step 6: Final answer
    x = 141,965,541.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.