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Finding the Third Proportional to 23,137,904,838 and 32,583,268,620

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Solution

The third proportional to 23,137,904,838 and 32,583,268,620 is: 45,884,422,180.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,137,904,838 : 32,583,268,620 = 32,583,268,620 : x
  2. Step 2: Convert to fraction form
    23,137,904,838/32,583,268,620 = 32,583,268,620/x
  3. Step 3: Cross multiply
    23,137,904,838x = 32,583,268,620 × 32,583,268,620
  4. Step 4: Simplify right side
    23,137,904,838x = 1,061,669,393,963,076,681,728
  5. Step 5: Solve for x
    x = 1,061,669,393,963,076,681,728/23,137,904,838
  6. Step 6: Final answer
    x = 45,884,422,180.68

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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.