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Finding the Third Proportional to 10,364,232,064 and 22,379,915,456

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Solution

The third proportional to 10,364,232,064 and 22,379,915,456 is: 48,325,878,147.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,364,232,064 : 22,379,915,456 = 22,379,915,456 : x
  2. Step 2: Convert to fraction form
    10,364,232,064/22,379,915,456 = 22,379,915,456/x
  3. Step 3: Cross multiply
    10,364,232,064x = 22,379,915,456 × 22,379,915,456
  4. Step 4: Simplify right side
    10,364,232,064x = 500,860,615,817,707,716,608
  5. Step 5: Solve for x
    x = 500,860,615,817,707,716,608/10,364,232,064
  6. Step 6: Final answer
    x = 48,325,878,147.54

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.