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Finding the Third Proportional to 59,515,445,447 and 128,498,504,929

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Solution

The third proportional to 59,515,445,447 and 128,498,504,929 is: 277,438,329,579.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,515,445,447 : 128,498,504,929 = 128,498,504,929 : x
  2. Step 2: Convert to fraction form
    59,515,445,447/128,498,504,929 = 128,498,504,929/x
  3. Step 3: Cross multiply
    59,515,445,447x = 128,498,504,929 × 128,498,504,929
  4. Step 4: Simplify right side
    59,515,445,447x = 16,511,865,768,988,236,578,816
  5. Step 5: Solve for x
    x = 16,511,865,768,988,236,578,816/59,515,445,447
  6. Step 6: Final answer
    x = 277,438,329,579.38

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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.