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Finding the Third Proportional to 3,818,980,468 and 8,225,593,256

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Solution

The third proportional to 3,818,980,468 and 8,225,593,256 is: 17,716,871,028.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,818,980,468 : 8,225,593,256 = 8,225,593,256 : x
  2. Step 2: Convert to fraction form
    3,818,980,468/8,225,593,256 = 8,225,593,256/x
  3. Step 3: Cross multiply
    3,818,980,468x = 8,225,593,256 × 8,225,593,256
  4. Step 4: Simplify right side
    3,818,980,468x = 67,660,384,413,152,681,984
  5. Step 5: Solve for x
    x = 67,660,384,413,152,681,984/3,818,980,468
  6. Step 6: Final answer
    x = 17,716,871,028.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.