Finding the Third Proportional to 290,908,633,784 and 679,693,831,912
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Solution
The third proportional to 290,908,633,784 and 679,693,831,912 is: 1,588,071,481,859.98
Step by Step Solution
- Step 1: Write the proportion equation
290,908,633,784 : 679,693,831,912 = 679,693,831,912 : x - Step 2: Convert to fraction form
290,908,633,784/679,693,831,912 = 679,693,831,912/x - Step 3: Cross multiply
290,908,633,784x = 679,693,831,912 × 679,693,831,912 - Step 4: Simplify right side
290,908,633,784x = 461,983,705,139,218,114,150,400 - Step 5: Solve for x
x = 461,983,705,139,218,114,150,400/290,908,633,784 - Step 6: Final answer
x = 1,588,071,481,859.98
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Why These Related Problems?
These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.