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Finding the Third Proportional to 34,634,794 and 75,297,958

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Solution

The third proportional to 34,634,794 and 75,297,958 is: 163,701,925.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,634,794 : 75,297,958 = 75,297,958 : x
  2. Step 2: Convert to fraction form
    34,634,794/75,297,958 = 75,297,958/x
  3. Step 3: Cross multiply
    34,634,794x = 75,297,958 × 75,297,958
  4. Step 4: Simplify right side
    34,634,794x = 5,669,782,478,969,764
  5. Step 5: Solve for x
    x = 5,669,782,478,969,764/34,634,794
  6. Step 6: Final answer
    x = 163,701,925.84

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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.