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Finding the Third Proportional to 2,023,516,801 and 4,512,305,702

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Solution

The third proportional to 2,023,516,801 and 4,512,305,702 is: 10,062,136,740.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023,516,801 : 4,512,305,702 = 4,512,305,702 : x
  2. Step 2: Convert to fraction form
    2,023,516,801/4,512,305,702 = 4,512,305,702/x
  3. Step 3: Cross multiply
    2,023,516,801x = 4,512,305,702 × 4,512,305,702
  4. Step 4: Simplify right side
    2,023,516,801x = 20,360,902,748,301,713,408
  5. Step 5: Solve for x
    x = 20,360,902,748,301,713,408/2,023,516,801
  6. Step 6: Final answer
    x = 10,062,136,740.47

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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.