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Finding the Third Proportional to 29,601,647,823 and 63,921,284,925

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Solution

The third proportional to 29,601,647,823 and 63,921,284,925 is: 138,030,514,074.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,601,647,823 : 63,921,284,925 = 63,921,284,925 : x
  2. Step 2: Convert to fraction form
    29,601,647,823/63,921,284,925 = 63,921,284,925/x
  3. Step 3: Cross multiply
    29,601,647,823x = 63,921,284,925 × 63,921,284,925
  4. Step 4: Simplify right side
    29,601,647,823x = 4,085,930,666,463,032,508,416
  5. Step 5: Solve for x
    x = 4,085,930,666,463,032,508,416/29,601,647,823
  6. Step 6: Final answer
    x = 138,030,514,074.57

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