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Finding the Third Proportional to 17,258,809,218,499 and 37,555,864,101,128

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Solution

The third proportional to 17,258,809,218,499 and 37,555,864,101,128 is: 81,723,073,157,944.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,258,809,218,499 : 37,555,864,101,128 = 37,555,864,101,128 : x
  2. Step 2: Convert to fraction form
    17,258,809,218,499/37,555,864,101,128 = 37,555,864,101,128/x
  3. Step 3: Cross multiply
    17,258,809,218,499x = 37,555,864,101,128 × 37,555,864,101,128
  4. Step 4: Simplify right side
    17,258,809,218,499x = 1,410,442,928,382,394,811,430,207,488
  5. Step 5: Solve for x
    x = 1,410,442,928,382,394,811,430,207,488/17,258,809,218,499
  6. Step 6: Final answer
    x = 81,723,073,157,944.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.