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Finding the Third Proportional to 23,361,563,122,698 and 34,342,534,137,470

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Solution

The third proportional to 23,361,563,122,698 and 34,342,534,137,470 is: 50,485,048,658,297.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,361,563,122,698 : 34,342,534,137,470 = 34,342,534,137,470 : x
  2. Step 2: Convert to fraction form
    23,361,563,122,698/34,342,534,137,470 = 34,342,534,137,470/x
  3. Step 3: Cross multiply
    23,361,563,122,698x = 34,342,534,137,470 × 34,342,534,137,470
  4. Step 4: Simplify right side
    23,361,563,122,698x = 1,179,409,650,983,292,371,799,638,016
  5. Step 5: Solve for x
    x = 1,179,409,650,983,292,371,799,638,016/23,361,563,122,698
  6. Step 6: Final answer
    x = 50,485,048,658,297.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.