Finding the Third Proportional to 478,261,190,340 and 1,054,007,243,025
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Solution
The third proportional to 478,261,190,340 and 1,054,007,243,025 is: 2,322,854,730,402.42
Step by Step Solution
- Step 1: Write the proportion equation
478,261,190,340 : 1,054,007,243,025 = 1,054,007,243,025 : x - Step 2: Convert to fraction form
478,261,190,340/1,054,007,243,025 = 1,054,007,243,025/x - Step 3: Cross multiply
478,261,190,340x = 1,054,007,243,025 × 1,054,007,243,025 - Step 4: Simplify right side
478,261,190,340x = 1,110,931,268,349,161,476,456,448 - Step 5: Solve for x
x = 1,110,931,268,349,161,476,456,448/478,261,190,340 - Step 6: Final answer
x = 2,322,854,730,402.42
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.