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Finding the Third Proportional to 580,480,128 and 1,262,992,512

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Solution

The third proportional to 580,480,128 and 1,262,992,512 is: 2,747,983,967.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,480,128 : 1,262,992,512 = 1,262,992,512 : x
  2. Step 2: Convert to fraction form
    580,480,128/1,262,992,512 = 1,262,992,512/x
  3. Step 3: Cross multiply
    580,480,128x = 1,262,992,512 × 1,262,992,512
  4. Step 4: Simplify right side
    580,480,128x = 1,595,150,085,368,070,144
  5. Step 5: Solve for x
    x = 1,595,150,085,368,070,144/580,480,128
  6. Step 6: Final answer
    x = 2,747,983,967.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.