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Finding the Third Proportional to 449,575,026,067 and 970,804,514,311

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Solution

The third proportional to 449,575,026,067 and 970,804,514,311 is: 2,096,338,431,543.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,575,026,067 : 970,804,514,311 = 970,804,514,311 : x
  2. Step 2: Convert to fraction form
    449,575,026,067/970,804,514,311 = 970,804,514,311/x
  3. Step 3: Cross multiply
    449,575,026,067x = 970,804,514,311 × 970,804,514,311
  4. Step 4: Simplify right side
    449,575,026,067x = 942,461,405,006,616,567,218,176
  5. Step 5: Solve for x
    x = 942,461,405,006,616,567,218,176/449,575,026,067
  6. Step 6: Final answer
    x = 2,096,338,431,543.93

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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.