Finding the Third Proportional to 539,765,664.75 and 829,290,282.75
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Solution
The third proportional to 539,765,664.75 and 829,290,282.75 is: 1,274,112,856.70
Step by Step Solution
- Step 1: Write the proportion equation
539,765,664.75 : 829,290,282.75 = 829,290,282.75 : x - Step 2: Convert to fraction form
539,765,664.75/829,290,282.75 = 829,290,282.75/x - Step 3: Cross multiply
539,765,664.75x = 829,290,282.75 × 829,290,282.75 - Step 4: Simplify right side
539,765,664.75x = 687,722,373,063,574,912 - Step 5: Solve for x
x = 687,722,373,063,574,912/539,765,664.75 - Step 6: Final answer
x = 1,274,112,856.70
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.