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Finding the Third Proportional to 29,601,647,817 and 63,921,284,913

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Solution

The third proportional to 29,601,647,817 and 63,921,284,913 is: 138,030,514,050.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,601,647,817 : 63,921,284,913 = 63,921,284,913 : x
  2. Step 2: Convert to fraction form
    29,601,647,817/63,921,284,913 = 63,921,284,913/x
  3. Step 3: Cross multiply
    29,601,647,817x = 63,921,284,913 × 63,921,284,913
  4. Step 4: Simplify right side
    29,601,647,817x = 4,085,930,664,928,921,255,936
  5. Step 5: Solve for x
    x = 4,085,930,664,928,921,255,936/29,601,647,817
  6. Step 6: Final answer
    x = 138,030,514,050.72

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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.