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Finding the Third Proportional to 1,959,356,230 and 4,230,403,456

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Solution

The third proportional to 1,959,356,230 and 4,230,403,456 is: 9,133,772,167.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959,356,230 : 4,230,403,456 = 4,230,403,456 : x
  2. Step 2: Convert to fraction form
    1,959,356,230/4,230,403,456 = 4,230,403,456/x
  3. Step 3: Cross multiply
    1,959,356,230x = 4,230,403,456 × 4,230,403,456
  4. Step 4: Simplify right side
    1,959,356,230x = 17,896,313,400,536,743,936
  5. Step 5: Solve for x
    x = 17,896,313,400,536,743,936/1,959,356,230
  6. Step 6: Final answer
    x = 9,133,772,167.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.