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Finding the Third Proportional to 17,478,720 and 27,358,956

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Solution

The third proportional to 17,478,720 and 27,358,956 is: 42,824,215.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,478,720 : 27,358,956 = 27,358,956 : x
  2. Step 2: Convert to fraction form
    17,478,720/27,358,956 = 27,358,956/x
  3. Step 3: Cross multiply
    17,478,720x = 27,358,956 × 27,358,956
  4. Step 4: Simplify right side
    17,478,720x = 748,512,473,409,936
  5. Step 5: Solve for x
    x = 748,512,473,409,936/17,478,720
  6. Step 6: Final answer
    x = 42,824,215.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.