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Finding the Third Proportional to 2,871,964,271 and 6,288,738,673

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Solution

The third proportional to 2,871,964,271 and 6,288,738,673 is: 13,770,447,806.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871,964,271 : 6,288,738,673 = 6,288,738,673 : x
  2. Step 2: Convert to fraction form
    2,871,964,271/6,288,738,673 = 6,288,738,673/x
  3. Step 3: Cross multiply
    2,871,964,271x = 6,288,738,673 × 6,288,738,673
  4. Step 4: Simplify right side
    2,871,964,271x = 39,548,234,097,285,799,936
  5. Step 5: Solve for x
    x = 39,548,234,097,285,799,936/2,871,964,271
  6. Step 6: Final answer
    x = 13,770,447,806.97

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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.