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Finding the Third Proportional to 34,634,797 and 75,297,964

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Solution

The third proportional to 34,634,797 and 75,297,964 is: 163,701,937.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,634,797 : 75,297,964 = 75,297,964 : x
  2. Step 2: Convert to fraction form
    34,634,797/75,297,964 = 75,297,964/x
  3. Step 3: Cross multiply
    34,634,797x = 75,297,964 × 75,297,964
  4. Step 4: Simplify right side
    34,634,797x = 5,669,783,382,545,296
  5. Step 5: Solve for x
    x = 5,669,783,382,545,296/34,634,797
  6. Step 6: Final answer
    x = 163,701,937.75

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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.