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Finding the Third Proportional to 1,475,313,880 and 2,243,180,052

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Solution

The third proportional to 1,475,313,880 and 2,243,180,052 is: 3,410,702,504.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475,313,880 : 2,243,180,052 = 2,243,180,052 : x
  2. Step 2: Convert to fraction form
    1,475,313,880/2,243,180,052 = 2,243,180,052/x
  3. Step 3: Cross multiply
    1,475,313,880x = 2,243,180,052 × 2,243,180,052
  4. Step 4: Simplify right side
    1,475,313,880x = 5,031,856,745,690,722,304
  5. Step 5: Solve for x
    x = 5,031,856,745,690,722,304/1,475,313,880
  6. Step 6: Final answer
    x = 3,410,702,504.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.