Finding the Third Proportional to 505,771,904,366 and 1,092,155,078,683
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Solution
The third proportional to 505,771,904,366 and 1,092,155,078,683 is: 2,358,380,735,656.49
Step by Step Solution
- Step 1: Write the proportion equation
505,771,904,366 : 1,092,155,078,683 = 1,092,155,078,683 : x - Step 2: Convert to fraction form
505,771,904,366/1,092,155,078,683 = 1,092,155,078,683/x - Step 3: Cross multiply
505,771,904,366x = 1,092,155,078,683 × 1,092,155,078,683 - Step 4: Simplify right side
505,771,904,366x = 1,192,802,715,893,069,885,997,056 - Step 5: Solve for x
x = 1,192,802,715,893,069,885,997,056/505,771,904,366 - Step 6: Final answer
x = 2,358,380,735,656.49
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.