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Finding the Third Proportional to 23,137,904,840 and 32,583,268,623

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Solution

The third proportional to 23,137,904,840 and 32,583,268,623 is: 45,884,422,185.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,137,904,840 : 32,583,268,623 = 32,583,268,623 : x
  2. Step 2: Convert to fraction form
    23,137,904,840/32,583,268,623 = 32,583,268,623/x
  3. Step 3: Cross multiply
    23,137,904,840x = 32,583,268,623 × 32,583,268,623
  4. Step 4: Simplify right side
    23,137,904,840x = 1,061,669,394,158,576,336,896
  5. Step 5: Solve for x
    x = 1,061,669,394,158,576,336,896/23,137,904,840
  6. Step 6: Final answer
    x = 45,884,422,185.16

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.