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Finding the Third Proportional to 30,475,224 and 65,083,512

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Solution

The third proportional to 30,475,224 and 65,083,512 is: 138,993,680.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,475,224 : 65,083,512 = 65,083,512 : x
  2. Step 2: Convert to fraction form
    30,475,224/65,083,512 = 65,083,512/x
  3. Step 3: Cross multiply
    30,475,224x = 65,083,512 × 65,083,512
  4. Step 4: Simplify right side
    30,475,224x = 4,235,863,534,254,144
  5. Step 5: Solve for x
    x = 4,235,863,534,254,144/30,475,224
  6. Step 6: Final answer
    x = 138,993,680.05

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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.