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Finding the Third Proportional to 48,001,760 and 76,254,168

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Solution

The third proportional to 48,001,760 and 76,254,168 is: 121,135,102.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,001,760 : 76,254,168 = 76,254,168 : x
  2. Step 2: Convert to fraction form
    48,001,760/76,254,168 = 76,254,168/x
  3. Step 3: Cross multiply
    48,001,760x = 76,254,168 × 76,254,168
  4. Step 4: Simplify right side
    48,001,760x = 5,814,698,137,372,224
  5. Step 5: Solve for x
    x = 5,814,698,137,372,224/48,001,760
  6. Step 6: Final answer
    x = 121,135,102.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.