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Finding the Third Proportional to 1,214,792,638 and 1,814,242,759

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Solution

The third proportional to 1,214,792,638 and 1,814,242,759 is: 2,709,496,819.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,792,638 : 1,814,242,759 = 1,814,242,759 : x
  2. Step 2: Convert to fraction form
    1,214,792,638/1,814,242,759 = 1,814,242,759/x
  3. Step 3: Cross multiply
    1,214,792,638x = 1,814,242,759 × 1,814,242,759
  4. Step 4: Simplify right side
    1,214,792,638x = 3,291,476,788,583,931,904
  5. Step 5: Solve for x
    x = 3,291,476,788,583,931,904/1,214,792,638
  6. Step 6: Final answer
    x = 2,709,496,819.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.