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Finding the Third Proportional to 3,955,842,678,616.40 and 8,568,871,575,535.20

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Solution

The third proportional to 3,955,842,678,616.40 and 8,568,871,575,535.20 is: 18,561,294,278,693.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,955,842,678,616.40 : 8,568,871,575,535.20 = 8,568,871,575,535.20 : x
  2. Step 2: Convert to fraction form
    3,955,842,678,616.40/8,568,871,575,535.20 = 8,568,871,575,535.20/x
  3. Step 3: Cross multiply
    3,955,842,678,616.40x = 8,568,871,575,535.20 × 8,568,871,575,535.20
  4. Step 4: Simplify right side
    3,955,842,678,616.40x = 73,425,560,078,015,101,644,308,480
  5. Step 5: Solve for x
    x = 73,425,560,078,015,101,644,308,480/3,955,842,678,616.40
  6. Step 6: Final answer
    x = 18,561,294,278,693.74

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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.