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Finding the Third Proportional to 2,030,467,424 and 2,739,577,293

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Solution

The third proportional to 2,030,467,424 and 2,739,577,293 is: 3,696,332,999.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030,467,424 : 2,739,577,293 = 2,739,577,293 : x
  2. Step 2: Convert to fraction form
    2,030,467,424/2,739,577,293 = 2,739,577,293/x
  3. Step 3: Cross multiply
    2,030,467,424x = 2,739,577,293 × 2,739,577,293
  4. Step 4: Simplify right side
    2,030,467,424x = 7,505,283,744,321,208,320
  5. Step 5: Solve for x
    x = 7,505,283,744,321,208,320/2,030,467,424
  6. Step 6: Final answer
    x = 3,696,332,999.79

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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.