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Finding the Third Proportional to 17,441,678,754 and 38,260,104,078

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Solution

The third proportional to 17,441,678,754 and 38,260,104,078 is: 83,927,446,704.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,441,678,754 : 38,260,104,078 = 38,260,104,078 : x
  2. Step 2: Convert to fraction form
    17,441,678,754/38,260,104,078 = 38,260,104,078/x
  3. Step 3: Cross multiply
    17,441,678,754x = 38,260,104,078 × 38,260,104,078
  4. Step 4: Simplify right side
    17,441,678,754x = 1,463,835,564,059,392,212,992
  5. Step 5: Solve for x
    x = 1,463,835,564,059,392,212,992/17,441,678,754
  6. Step 6: Final answer
    x = 83,927,446,704.27

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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.