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Finding the Third Proportional to 3,079,491,184 and 7,185,727,768

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Solution

The third proportional to 3,079,491,184 and 7,185,727,768 is: 16,767,277,602.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,079,491,184 : 7,185,727,768 = 7,185,727,768 : x
  2. Step 2: Convert to fraction form
    3,079,491,184/7,185,727,768 = 7,185,727,768/x
  3. Step 3: Cross multiply
    3,079,491,184x = 7,185,727,768 × 7,185,727,768
  4. Step 4: Simplify right side
    3,079,491,184x = 51,634,683,555,806,265,344
  5. Step 5: Solve for x
    x = 51,634,683,555,806,265,344/3,079,491,184
  6. Step 6: Final answer
    x = 16,767,277,602.25

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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.