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Finding the Third Proportional to 2,209,157,904 and 3,430,138,800

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Solution

The third proportional to 2,209,157,904 and 3,430,138,800 is: 5,325,944,408.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209,157,904 : 3,430,138,800 = 3,430,138,800 : x
  2. Step 2: Convert to fraction form
    2,209,157,904/3,430,138,800 = 3,430,138,800/x
  3. Step 3: Cross multiply
    2,209,157,904x = 3,430,138,800 × 3,430,138,800
  4. Step 4: Simplify right side
    2,209,157,904x = 11,765,852,187,265,439,744
  5. Step 5: Solve for x
    x = 11,765,852,187,265,439,744/2,209,157,904
  6. Step 6: Final answer
    x = 5,325,944,408.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.