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Finding the Third Proportional to 2,023,516,803 and 4,512,305,706

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Solution

The third proportional to 2,023,516,803 and 4,512,305,706 is: 10,062,136,748.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023,516,803 : 4,512,305,706 = 4,512,305,706 : x
  2. Step 2: Convert to fraction form
    2,023,516,803/4,512,305,706 = 4,512,305,706/x
  3. Step 3: Cross multiply
    2,023,516,803x = 4,512,305,706 × 4,512,305,706
  4. Step 4: Simplify right side
    2,023,516,803x = 20,360,902,784,400,158,720
  5. Step 5: Solve for x
    x = 20,360,902,784,400,158,720/2,023,516,803
  6. Step 6: Final answer
    x = 10,062,136,748.36

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.