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Finding the Third Proportional to 34,296,741,475 and 74,292,539,989

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Solution

The third proportional to 34,296,741,475 and 74,292,539,989 is: 160,930,200,965.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,296,741,475 : 74,292,539,989 = 74,292,539,989 : x
  2. Step 2: Convert to fraction form
    34,296,741,475/74,292,539,989 = 74,292,539,989/x
  3. Step 3: Cross multiply
    34,296,741,475x = 74,292,539,989 × 74,292,539,989
  4. Step 4: Simplify right side
    34,296,741,475x = 5,519,381,498,017,164,034,048
  5. Step 5: Solve for x
    x = 5,519,381,498,017,164,034,048/34,296,741,475
  6. Step 6: Final answer
    x = 160,930,200,965.02

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.