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Finding the Third Proportional to 606,645,062 and 1,306,735,180

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Solution

The third proportional to 606,645,062 and 1,306,735,180 is: 2,814,754,355.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,645,062 : 1,306,735,180 = 1,306,735,180 : x
  2. Step 2: Convert to fraction form
    606,645,062/1,306,735,180 = 1,306,735,180/x
  3. Step 3: Cross multiply
    606,645,062x = 1,306,735,180 × 1,306,735,180
  4. Step 4: Simplify right side
    606,645,062x = 1,707,556,830,649,632,512
  5. Step 5: Solve for x
    x = 1,707,556,830,649,632,512/606,645,062
  6. Step 6: Final answer
    x = 2,814,754,355.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.