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Finding the Third Proportional to 351,345,378 and 763,173,576

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Solution

The third proportional to 351,345,378 and 763,173,576 is: 1,657,724,687.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,345,378 : 763,173,576 = 763,173,576 : x
  2. Step 2: Convert to fraction form
    351,345,378/763,173,576 = 763,173,576/x
  3. Step 3: Cross multiply
    351,345,378x = 763,173,576 × 763,173,576
  4. Step 4: Simplify right side
    351,345,378x = 582,433,907,104,627,712
  5. Step 5: Solve for x
    x = 582,433,907,104,627,712/351,345,378
  6. Step 6: Final answer
    x = 1,657,724,687.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.