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Finding the Third Proportional to 3,955,842,677,014 and 8,568,871,572,258.80

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Solution

The third proportional to 3,955,842,677,014 and 8,568,871,572,258.80 is: 18,561,294,272,018.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,955,842,677,014 : 8,568,871,572,258.80 = 8,568,871,572,258.80 : x
  2. Step 2: Convert to fraction form
    3,955,842,677,014/8,568,871,572,258.80 = 8,568,871,572,258.80/x
  3. Step 3: Cross multiply
    3,955,842,677,014x = 8,568,871,572,258.80 × 8,568,871,572,258.80
  4. Step 4: Simplify right side
    3,955,842,677,014x = 73,425,560,021,864,992,728,940,544
  5. Step 5: Solve for x
    x = 73,425,560,021,864,992,728,940,544/3,955,842,677,014
  6. Step 6: Final answer
    x = 18,561,294,272,018.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.