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Finding the Third Proportional to 12,365,075 and 26,431,837

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Solution

The third proportional to 12,365,075 and 26,431,837 is: 56,501,234.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,365,075 : 26,431,837 = 26,431,837 : x
  2. Step 2: Convert to fraction form
    12,365,075/26,431,837 = 26,431,837/x
  3. Step 3: Cross multiply
    12,365,075x = 26,431,837 × 26,431,837
  4. Step 4: Simplify right side
    12,365,075x = 698,642,007,194,569
  5. Step 5: Solve for x
    x = 698,642,007,194,569/12,365,075
  6. Step 6: Final answer
    x = 56,501,234.91

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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.