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Finding the Third Proportional to 1,832,758,487,064 and 3,717,775,811,520

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Solution

The third proportional to 1,832,758,487,064 and 3,717,775,811,520 is: 7,541,559,393,821.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832,758,487,064 : 3,717,775,811,520 = 3,717,775,811,520 : x
  2. Step 2: Convert to fraction form
    1,832,758,487,064/3,717,775,811,520 = 3,717,775,811,520/x
  3. Step 3: Cross multiply
    1,832,758,487,064x = 3,717,775,811,520 × 3,717,775,811,520
  4. Step 4: Simplify right side
    1,832,758,487,064x = 13,821,856,984,723,194,285,916,160
  5. Step 5: Solve for x
    x = 13,821,856,984,723,194,285,916,160/1,832,758,487,064
  6. Step 6: Final answer
    x = 7,541,559,393,821.28

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.