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Finding the Third Proportional to 24,184,128 and 36,147,168

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Solution

The third proportional to 24,184,128 and 36,147,168 is: 54,027,904.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,184,128 : 36,147,168 = 36,147,168 : x
  2. Step 2: Convert to fraction form
    24,184,128/36,147,168 = 36,147,168/x
  3. Step 3: Cross multiply
    24,184,128x = 36,147,168 × 36,147,168
  4. Step 4: Simplify right side
    24,184,128x = 1,306,617,754,420,224
  5. Step 5: Solve for x
    x = 1,306,617,754,420,224/24,184,128
  6. Step 6: Final answer
    x = 54,027,904.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.