Finding the Third Proportional to 654,845,378,986 and 1,425,000,916,769
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Solution
The third proportional to 654,845,378,986 and 1,425,000,916,769 is: 3,100,926,841,595.54
Step by Step Solution
- Step 1: Write the proportion equation
654,845,378,986 : 1,425,000,916,769 = 1,425,000,916,769 : x - Step 2: Convert to fraction form
654,845,378,986/1,425,000,916,769 = 1,425,000,916,769/x - Step 3: Cross multiply
654,845,378,986x = 1,425,000,916,769 × 1,425,000,916,769 - Step 4: Simplify right side
654,845,378,986x = 2,030,627,612,792,490,500,816,896 - Step 5: Solve for x
x = 2,030,627,612,792,490,500,816,896/654,845,378,986 - Step 6: Final answer
x = 3,100,926,841,595.54
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.