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Finding the Third Proportional to 6,476,099.77 and 14,044,882.22

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Solution

The third proportional to 6,476,099.77 and 14,044,882.22 is: 30,459,493.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476,099.77 : 14,044,882.22 = 14,044,882.22 : x
  2. Step 2: Convert to fraction form
    6,476,099.77/14,044,882.22 = 14,044,882.22/x
  3. Step 3: Cross multiply
    6,476,099.77x = 14,044,882.22 × 14,044,882.22
  4. Step 4: Simplify right side
    6,476,099.77x = 197,258,716,538,559.94
  5. Step 5: Solve for x
    x = 197,258,716,538,559.94/6,476,099.77
  6. Step 6: Final answer
    x = 30,459,493.16

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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.