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Finding the Third Proportional to 34,297,808 and 75,504,348

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Solution

The third proportional to 34,297,808 and 75,504,348 is: 166,217,810.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,297,808 : 75,504,348 = 75,504,348 : x
  2. Step 2: Convert to fraction form
    34,297,808/75,504,348 = 75,504,348/x
  3. Step 3: Cross multiply
    34,297,808x = 75,504,348 × 75,504,348
  4. Step 4: Simplify right side
    34,297,808x = 5,700,906,566,905,104
  5. Step 5: Solve for x
    x = 5,700,906,566,905,104/34,297,808
  6. Step 6: Final answer
    x = 166,217,810.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.