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Finding the Third Proportional to 477,372,560 and 1,028,199,160

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Solution

The third proportional to 477,372,560 and 1,028,199,160 is: 2,214,608,884.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,372,560 : 1,028,199,160 = 1,028,199,160 : x
  2. Step 2: Convert to fraction form
    477,372,560/1,028,199,160 = 1,028,199,160/x
  3. Step 3: Cross multiply
    477,372,560x = 1,028,199,160 × 1,028,199,160
  4. Step 4: Simplify right side
    477,372,560x = 1,057,193,512,624,705,536
  5. Step 5: Solve for x
    x = 1,057,193,512,624,705,536/477,372,560
  6. Step 6: Final answer
    x = 2,214,608,884.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.