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Finding the Third Proportional to 33,295,046,310 and 48,105,592,218

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Solution

The third proportional to 33,295,046,310 and 48,105,592,218 is: 69,504,273,431.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,295,046,310 : 48,105,592,218 = 48,105,592,218 : x
  2. Step 2: Convert to fraction form
    33,295,046,310/48,105,592,218 = 48,105,592,218/x
  3. Step 3: Cross multiply
    33,295,046,310x = 48,105,592,218 × 48,105,592,218
  4. Step 4: Simplify right side
    33,295,046,310x = 2,314,148,002,644,502,249,472
  5. Step 5: Solve for x
    x = 2,314,148,002,644,502,249,472/33,295,046,310
  6. Step 6: Final answer
    x = 69,504,273,431.49

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.