Finding the Third Proportional to 4,261,919,497,883 and 8,749,775,764,102
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Solution
The third proportional to 4,261,919,497,883 and 8,749,775,764,102 is: 17,963,402,631,160.74
Step by Step Solution
- Step 1: Write the proportion equation
4,261,919,497,883 : 8,749,775,764,102 = 8,749,775,764,102 : x - Step 2: Convert to fraction form
4,261,919,497,883/8,749,775,764,102 = 8,749,775,764,102/x - Step 3: Cross multiply
4,261,919,497,883x = 8,749,775,764,102 × 8,749,775,764,102 - Step 4: Simplify right side
4,261,919,497,883x = 76,558,575,922,066,737,462,247,424 - Step 5: Solve for x
x = 76,558,575,922,066,737,462,247,424/4,261,919,497,883 - Step 6: Final answer
x = 17,963,402,631,160.74
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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.