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Finding the Third Proportional to 29,601,647,827 and 63,921,284,933

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Solution

The third proportional to 29,601,647,827 and 63,921,284,933 is: 138,030,514,090.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,601,647,827 : 63,921,284,933 = 63,921,284,933 : x
  2. Step 2: Convert to fraction form
    29,601,647,827/63,921,284,933 = 63,921,284,933/x
  3. Step 3: Cross multiply
    29,601,647,827x = 63,921,284,933 × 63,921,284,933
  4. Step 4: Simplify right side
    29,601,647,827x = 4,085,930,667,485,772,644,352
  5. Step 5: Solve for x
    x = 4,085,930,667,485,772,644,352/29,601,647,827
  6. Step 6: Final answer
    x = 138,030,514,090.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.