Finding the Third Proportional to 1,771,193,098,128.30 and 2,645,183,174,578.80
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Solution
The third proportional to 1,771,193,098,128.30 and 2,645,183,174,578.80 is: 3,950,441,109,142.09
Step by Step Solution
- Step 1: Write the proportion equation
1,771,193,098,128.30 : 2,645,183,174,578.80 = 2,645,183,174,578.80 : x - Step 2: Convert to fraction form
1,771,193,098,128.30/2,645,183,174,578.80 = 2,645,183,174,578.80/x - Step 3: Cross multiply
1,771,193,098,128.30x = 2,645,183,174,578.80 × 2,645,183,174,578.80 - Step 4: Simplify right side
1,771,193,098,128.30x = 6,996,994,027,074,777,532,858,368 - Step 5: Solve for x
x = 6,996,994,027,074,777,532,858,368/1,771,193,098,128.30 - Step 6: Final answer
x = 3,950,441,109,142.09
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.