Finding the Third Proportional to 380,669,083,462.50 and 575,907,563,452.50
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Solution
The third proportional to 380,669,083,462.50 and 575,907,563,452.50 is: 871,280,427,149.45
Step by Step Solution
- Step 1: Write the proportion equation
380,669,083,462.50 : 575,907,563,452.50 = 575,907,563,452.50 : x - Step 2: Convert to fraction form
380,669,083,462.50/575,907,563,452.50 = 575,907,563,452.50/x - Step 3: Cross multiply
380,669,083,462.50x = 575,907,563,452.50 × 575,907,563,452.50 - Step 4: Simplify right side
380,669,083,462.50x = 331,669,521,641,795,332,603,904 - Step 5: Solve for x
x = 331,669,521,641,795,332,603,904/380,669,083,462.50 - Step 6: Final answer
x = 871,280,427,149.45
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.