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Finding the Third Proportional to 1,930,010,738 and 4,213,963,638

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Solution

The third proportional to 1,930,010,738 and 4,213,963,638 is: 9,200,720,593.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930,010,738 : 4,213,963,638 = 4,213,963,638 : x
  2. Step 2: Convert to fraction form
    1,930,010,738/4,213,963,638 = 4,213,963,638/x
  3. Step 3: Cross multiply
    1,930,010,738x = 4,213,963,638 × 4,213,963,638
  4. Step 4: Simplify right side
    1,930,010,738x = 17,757,489,542,386,194,432
  5. Step 5: Solve for x
    x = 17,757,489,542,386,194,432/1,930,010,738
  6. Step 6: Final answer
    x = 9,200,720,593.29

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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.