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Finding the Third Proportional to 1,081,293,839 and 1,624,819,868

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Solution

The third proportional to 1,081,293,839 and 1,624,819,868 is: 2,441,556,132.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081,293,839 : 1,624,819,868 = 1,624,819,868 : x
  2. Step 2: Convert to fraction form
    1,081,293,839/1,624,819,868 = 1,624,819,868/x
  3. Step 3: Cross multiply
    1,081,293,839x = 1,624,819,868 × 1,624,819,868
  4. Step 4: Simplify right side
    1,081,293,839x = 2,640,039,603,447,537,664
  5. Step 5: Solve for x
    x = 2,640,039,603,447,537,664/1,081,293,839
  6. Step 6: Final answer
    x = 2,441,556,132.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.