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Finding the Third Proportional to 4,777,775,092 and 7,418,211,440

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Solution

The third proportional to 4,777,775,092 and 7,418,211,440 is: 11,517,884,351.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777,775,092 : 7,418,211,440 = 7,418,211,440 : x
  2. Step 2: Convert to fraction form
    4,777,775,092/7,418,211,440 = 7,418,211,440/x
  3. Step 3: Cross multiply
    4,777,775,092x = 7,418,211,440 × 7,418,211,440
  4. Step 4: Simplify right side
    4,777,775,092x = 55,029,860,968,546,877,440
  5. Step 5: Solve for x
    x = 55,029,860,968,546,877,440/4,777,775,092
  6. Step 6: Final answer
    x = 11,517,884,351.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.