Finding the Third Proportional to 427,726,533,789.75 and 917,544,562,814.75
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Solution
The third proportional to 427,726,533,789.75 and 917,544,562,814.75 is: 1,968,285,711,179.99
Step by Step Solution
- Step 1: Write the proportion equation
427,726,533,789.75 : 917,544,562,814.75 = 917,544,562,814.75 : x - Step 2: Convert to fraction form
427,726,533,789.75/917,544,562,814.75 = 917,544,562,814.75/x - Step 3: Cross multiply
427,726,533,789.75x = 917,544,562,814.75 × 917,544,562,814.75 - Step 4: Simplify right side
427,726,533,789.75x = 841,888,024,750,910,722,801,664 - Step 5: Solve for x
x = 841,888,024,750,910,722,801,664/427,726,533,789.75 - Step 6: Final answer
x = 1,968,285,711,179.99
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.