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Finding the Third Proportional to 449,575,026,065.25 and 970,804,514,306.25

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Solution

The third proportional to 449,575,026,065.25 and 970,804,514,306.25 is: 2,096,338,431,531.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,575,026,065.25 : 970,804,514,306.25 = 970,804,514,306.25 : x
  2. Step 2: Convert to fraction form
    449,575,026,065.25/970,804,514,306.25 = 970,804,514,306.25/x
  3. Step 3: Cross multiply
    449,575,026,065.25x = 970,804,514,306.25 × 970,804,514,306.25
  4. Step 4: Simplify right side
    449,575,026,065.25x = 942,461,404,997,393,930,256,384
  5. Step 5: Solve for x
    x = 942,461,404,997,393,930,256,384/449,575,026,065.25
  6. Step 6: Final answer
    x = 2,096,338,431,531.58

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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.