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Finding the Third Proportional to 11,371,515,278 and 24,320,424,672

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Solution

The third proportional to 11,371,515,278 and 24,320,424,672 is: 52,014,445,020.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,371,515,278 : 24,320,424,672 = 24,320,424,672 : x
  2. Step 2: Convert to fraction form
    11,371,515,278/24,320,424,672 = 24,320,424,672/x
  3. Step 3: Cross multiply
    11,371,515,278x = 24,320,424,672 × 24,320,424,672
  4. Step 4: Simplify right side
    11,371,515,278x = 591,483,056,226,426,290,176
  5. Step 5: Solve for x
    x = 591,483,056,226,426,290,176/11,371,515,278
  6. Step 6: Final answer
    x = 52,014,445,020.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.