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Finding the Third Proportional to 2,030,467,422 and 2,739,577,290

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Solution

The third proportional to 2,030,467,422 and 2,739,577,290 is: 3,696,332,995.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030,467,422 : 2,739,577,290 = 2,739,577,290 : x
  2. Step 2: Convert to fraction form
    2,030,467,422/2,739,577,290 = 2,739,577,290/x
  3. Step 3: Cross multiply
    2,030,467,422x = 2,739,577,290 × 2,739,577,290
  4. Step 4: Simplify right side
    2,030,467,422x = 7,505,283,727,883,744,256
  5. Step 5: Solve for x
    x = 7,505,283,727,883,744,256/2,030,467,422
  6. Step 6: Final answer
    x = 3,696,332,995.33

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.