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Finding the Third Proportional to 29,601,647,825 and 63,921,284,929

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Solution

The third proportional to 29,601,647,825 and 63,921,284,929 is: 138,030,514,082.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,601,647,825 : 63,921,284,929 = 63,921,284,929 : x
  2. Step 2: Convert to fraction form
    29,601,647,825/63,921,284,929 = 63,921,284,929/x
  3. Step 3: Cross multiply
    29,601,647,825x = 63,921,284,929 × 63,921,284,929
  4. Step 4: Simplify right side
    29,601,647,825x = 4,085,930,666,974,402,576,384
  5. Step 5: Solve for x
    x = 4,085,930,666,974,402,576,384/29,601,647,825
  6. Step 6: Final answer
    x = 138,030,514,082.52

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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.