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Finding the Third Proportional to 3,079,491,186 and 7,185,727,773

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Solution

The third proportional to 3,079,491,186 and 7,185,727,773 is: 16,767,277,614.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,079,491,186 : 7,185,727,773 = 7,185,727,773 : x
  2. Step 2: Convert to fraction form
    3,079,491,186/7,185,727,773 = 7,185,727,773/x
  3. Step 3: Cross multiply
    3,079,491,186x = 7,185,727,773 × 7,185,727,773
  4. Step 4: Simplify right side
    3,079,491,186x = 51,634,683,627,663,540,224
  5. Step 5: Solve for x
    x = 51,634,683,627,663,540,224/3,079,491,186
  6. Step 6: Final answer
    x = 16,767,277,614.69

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.