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Finding the Third Proportional to 23,137,904,121 and 32,583,267,663

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Solution

The third proportional to 23,137,904,121 and 32,583,267,663 is: 45,884,420,907.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,137,904,121 : 32,583,267,663 = 32,583,267,663 : x
  2. Step 2: Convert to fraction form
    23,137,904,121/32,583,267,663 = 32,583,267,663/x
  3. Step 3: Cross multiply
    23,137,904,121x = 32,583,267,663 × 32,583,267,663
  4. Step 4: Simplify right side
    23,137,904,121x = 1,061,669,331,598,701,494,272
  5. Step 5: Solve for x
    x = 1,061,669,331,598,701,494,272/23,137,904,121
  6. Step 6: Final answer
    x = 45,884,420,907.21

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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.