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Finding the Third Proportional to 271,862,511,636 and 426,472,053,644.25

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Solution

The third proportional to 271,862,511,636 and 426,472,053,644.25 is: 669,008,799,503.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,862,511,636 : 426,472,053,644.25 = 426,472,053,644.25 : x
  2. Step 2: Convert to fraction form
    271,862,511,636/426,472,053,644.25 = 426,472,053,644.25/x
  3. Step 3: Cross multiply
    271,862,511,636x = 426,472,053,644.25 × 426,472,053,644.25
  4. Step 4: Simplify right side
    271,862,511,636x = 181,878,412,539,544,033,296,384
  5. Step 5: Solve for x
    x = 181,878,412,539,544,033,296,384/271,862,511,636
  6. Step 6: Final answer
    x = 669,008,799,503.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.