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Finding the Third Proportional to 459,628,632 and 982,958,256

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Solution

The third proportional to 459,628,632 and 982,958,256 is: 2,102,146,963.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,628,632 : 982,958,256 = 982,958,256 : x
  2. Step 2: Convert to fraction form
    459,628,632/982,958,256 = 982,958,256/x
  3. Step 3: Cross multiply
    459,628,632x = 982,958,256 × 982,958,256
  4. Step 4: Simplify right side
    459,628,632x = 966,206,933,038,561,536
  5. Step 5: Solve for x
    x = 966,206,933,038,561,536/459,628,632
  6. Step 6: Final answer
    x = 2,102,146,963.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.