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Finding the Third Proportional to 10,675,368,961 and 22,234,331,443

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Solution

The third proportional to 10,675,368,961 and 22,234,331,443 is: 46,308,984,403.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,675,368,961 : 22,234,331,443 = 22,234,331,443 : x
  2. Step 2: Convert to fraction form
    10,675,368,961/22,234,331,443 = 22,234,331,443/x
  3. Step 3: Cross multiply
    10,675,368,961x = 22,234,331,443 × 22,234,331,443
  4. Step 4: Simplify right side
    10,675,368,961x = 494,365,494,717,178,445,824
  5. Step 5: Solve for x
    x = 494,365,494,717,178,445,824/10,675,368,961
  6. Step 6: Final answer
    x = 46,308,984,403.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.