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Finding the Third Proportional to 3,955,842,677,013.90 and 8,568,871,572,258.60

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Solution

The third proportional to 3,955,842,677,013.90 and 8,568,871,572,258.60 is: 18,561,294,272,017.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,955,842,677,013.90 : 8,568,871,572,258.60 = 8,568,871,572,258.60 : x
  2. Step 2: Convert to fraction form
    3,955,842,677,013.90/8,568,871,572,258.60 = 8,568,871,572,258.60/x
  3. Step 3: Cross multiply
    3,955,842,677,013.90x = 8,568,871,572,258.60 × 8,568,871,572,258.60
  4. Step 4: Simplify right side
    3,955,842,677,013.90x = 73,425,560,021,861,565,345,038,336
  5. Step 5: Solve for x
    x = 73,425,560,021,861,565,345,038,336/3,955,842,677,013.90
  6. Step 6: Final answer
    x = 18,561,294,272,017.78

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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.