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Finding the Third Proportional to 430,987,873,683 and 606,155,608,993.50

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Solution

The third proportional to 430,987,873,683 and 606,155,608,993.50 is: 852,517,309,070.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,987,873,683 : 606,155,608,993.50 = 606,155,608,993.50 : x
  2. Step 2: Convert to fraction form
    430,987,873,683/606,155,608,993.50 = 606,155,608,993.50/x
  3. Step 3: Cross multiply
    430,987,873,683x = 606,155,608,993.50 × 606,155,608,993.50
  4. Step 4: Simplify right side
    430,987,873,683x = 367,424,622,314,280,888,303,616
  5. Step 5: Solve for x
    x = 367,424,622,314,280,888,303,616/430,987,873,683
  6. Step 6: Final answer
    x = 852,517,309,070.58

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.