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Finding the Third Proportional to 449,575,026,100 and 970,804,514,378

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Solution

The third proportional to 449,575,026,100 and 970,804,514,378 is: 2,096,338,431,679.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,575,026,100 : 970,804,514,378 = 970,804,514,378 : x
  2. Step 2: Convert to fraction form
    449,575,026,100/970,804,514,378 = 970,804,514,378/x
  3. Step 3: Cross multiply
    449,575,026,100x = 970,804,514,378 × 970,804,514,378
  4. Step 4: Simplify right side
    449,575,026,100x = 942,461,405,136,704,415,727,616
  5. Step 5: Solve for x
    x = 942,461,405,136,704,415,727,616/449,575,026,100
  6. Step 6: Final answer
    x = 2,096,338,431,679.41

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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.