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Finding the Third Proportional to 17,184,960 and 24,090,048

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Solution

The third proportional to 17,184,960 and 24,090,048 is: 33,769,669.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,184,960 : 24,090,048 = 24,090,048 : x
  2. Step 2: Convert to fraction form
    17,184,960/24,090,048 = 24,090,048/x
  3. Step 3: Cross multiply
    17,184,960x = 24,090,048 × 24,090,048
  4. Step 4: Simplify right side
    17,184,960x = 580,330,412,642,304
  5. Step 5: Solve for x
    x = 580,330,412,642,304/17,184,960
  6. Step 6: Final answer
    x = 33,769,669.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.