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Finding the Third Proportional to 17,731,592 and 38,780,944

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Solution

The third proportional to 17,731,592 and 38,780,944 is: 84,818,194.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,731,592 : 38,780,944 = 38,780,944 : x
  2. Step 2: Convert to fraction form
    17,731,592/38,780,944 = 38,780,944/x
  3. Step 3: Cross multiply
    17,731,592x = 38,780,944 × 38,780,944
  4. Step 4: Simplify right side
    17,731,592x = 1,503,961,617,531,136
  5. Step 5: Solve for x
    x = 1,503,961,617,531,136/17,731,592
  6. Step 6: Final answer
    x = 84,818,194.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.