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Finding the Third Proportional to 449,575,026,102 and 970,804,514,382

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Solution

The third proportional to 449,575,026,102 and 970,804,514,382 is: 2,096,338,431,687.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,575,026,102 : 970,804,514,382 = 970,804,514,382 : x
  2. Step 2: Convert to fraction form
    449,575,026,102/970,804,514,382 = 970,804,514,382/x
  3. Step 3: Cross multiply
    449,575,026,102x = 970,804,514,382 × 970,804,514,382
  4. Step 4: Simplify right side
    449,575,026,102x = 942,461,405,144,470,790,340,608
  5. Step 5: Solve for x
    x = 942,461,405,144,470,790,340,608/449,575,026,102
  6. Step 6: Final answer
    x = 2,096,338,431,687.36

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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.