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Finding the Third Proportional to 1,111,369,647 and 2,194,631,969

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Solution

The third proportional to 1,111,369,647 and 2,194,631,969 is: 4,333,760,142.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111,369,647 : 2,194,631,969 = 2,194,631,969 : x
  2. Step 2: Convert to fraction form
    1,111,369,647/2,194,631,969 = 2,194,631,969/x
  3. Step 3: Cross multiply
    1,111,369,647x = 2,194,631,969 × 2,194,631,969
  4. Step 4: Simplify right side
    1,111,369,647x = 4,816,409,479,356,817,408
  5. Step 5: Solve for x
    x = 4,816,409,479,356,817,408/1,111,369,647
  6. Step 6: Final answer
    x = 4,333,760,142.14

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.