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Finding the Third Proportional to 17,824,168 and 26,412,564

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Solution

The third proportional to 17,824,168 and 26,412,564 is: 39,139,192.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,824,168 : 26,412,564 = 26,412,564 : x
  2. Step 2: Convert to fraction form
    17,824,168/26,412,564 = 26,412,564/x
  3. Step 3: Cross multiply
    17,824,168x = 26,412,564 × 26,412,564
  4. Step 4: Simplify right side
    17,824,168x = 697,623,537,054,096
  5. Step 5: Solve for x
    x = 697,623,537,054,096/17,824,168
  6. Step 6: Final answer
    x = 39,139,192.19

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.