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Finding the Third Proportional to 7,683,403.50 and 16,456,135.50

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Solution

The third proportional to 7,683,403.50 and 16,456,135.50 is: 35,245,369.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683,403.50 : 16,456,135.50 = 16,456,135.50 : x
  2. Step 2: Convert to fraction form
    7,683,403.50/16,456,135.50 = 16,456,135.50/x
  3. Step 3: Cross multiply
    7,683,403.50x = 16,456,135.50 × 16,456,135.50
  4. Step 4: Simplify right side
    7,683,403.50x = 270,804,395,594,360.25
  5. Step 5: Solve for x
    x = 270,804,395,594,360.25/7,683,403.50
  6. Step 6: Final answer
    x = 35,245,369.53

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.