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Finding the Third Proportional to 1,424,580,356 and 3,094,394,200

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Solution

The third proportional to 1,424,580,356 and 3,094,394,200 is: 6,721,470,940.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424,580,356 : 3,094,394,200 = 3,094,394,200 : x
  2. Step 2: Convert to fraction form
    1,424,580,356/3,094,394,200 = 3,094,394,200/x
  3. Step 3: Cross multiply
    1,424,580,356x = 3,094,394,200 × 3,094,394,200
  4. Step 4: Simplify right side
    1,424,580,356x = 9,575,275,464,993,640,448
  5. Step 5: Solve for x
    x = 9,575,275,464,993,640,448/1,424,580,356
  6. Step 6: Final answer
    x = 6,721,470,940.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.