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Finding the Third Proportional to 1,921,978,476 and 4,196,256,384

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Solution

The third proportional to 1,921,978,476 and 4,196,256,384 is: 9,161,688,260.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921,978,476 : 4,196,256,384 = 4,196,256,384 : x
  2. Step 2: Convert to fraction form
    1,921,978,476/4,196,256,384 = 4,196,256,384/x
  3. Step 3: Cross multiply
    1,921,978,476x = 4,196,256,384 × 4,196,256,384
  4. Step 4: Simplify right side
    1,921,978,476x = 17,608,567,640,260,755,456
  5. Step 5: Solve for x
    x = 17,608,567,640,260,755,456/1,921,978,476
  6. Step 6: Final answer
    x = 9,161,688,260.37

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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.