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Finding the Third Proportional to 1,039,460,370 and 2,311,327,701

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Solution

The third proportional to 1,039,460,370 and 2,311,327,701 is: 5,139,431,858.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039,460,370 : 2,311,327,701 = 2,311,327,701 : x
  2. Step 2: Convert to fraction form
    1,039,460,370/2,311,327,701 = 2,311,327,701/x
  3. Step 3: Cross multiply
    1,039,460,370x = 2,311,327,701 × 2,311,327,701
  4. Step 4: Simplify right side
    1,039,460,370x = 5,342,235,741,409,945,600
  5. Step 5: Solve for x
    x = 5,342,235,741,409,945,600/1,039,460,370
  6. Step 6: Final answer
    x = 5,139,431,858.68

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.