Finding the Third Proportional to 218,109,533,387.62 and 477,306,121,821.75
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Solution
The third proportional to 218,109,533,387.62 and 477,306,121,821.75 is: 1,044,526,254,263.45
Step by Step Solution
- Step 1: Write the proportion equation
218,109,533,387.62 : 477,306,121,821.75 = 477,306,121,821.75 : x - Step 2: Convert to fraction form
218,109,533,387.62/477,306,121,821.75 = 477,306,121,821.75/x - Step 3: Cross multiply
218,109,533,387.62x = 477,306,121,821.75 × 477,306,121,821.75 - Step 4: Simplify right side
218,109,533,387.62x = 227,821,133,928,519,237,107,712 - Step 5: Solve for x
x = 227,821,133,928,519,237,107,712/218,109,533,387.62 - Step 6: Final answer
x = 1,044,526,254,263.45
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.