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Finding the Third Proportional to 1,078,675,601,024 and 2,347,241,556,711

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Solution

The third proportional to 1,078,675,601,024 and 2,347,241,556,711 is: 5,107,692,173,922.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078,675,601,024 : 2,347,241,556,711 = 2,347,241,556,711 : x
  2. Step 2: Convert to fraction form
    1,078,675,601,024/2,347,241,556,711 = 2,347,241,556,711/x
  3. Step 3: Cross multiply
    1,078,675,601,024x = 2,347,241,556,711 × 2,347,241,556,711
  4. Step 4: Simplify right side
    1,078,675,601,024x = 5,509,542,925,551,078,394,036,224
  5. Step 5: Solve for x
    x = 5,509,542,925,551,078,394,036,224/1,078,675,601,024
  6. Step 6: Final answer
    x = 5,107,692,173,922.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.