Finding the Third Proportional to 1,283,160,327,408 and 2,719,303,320,409.80
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Solution
The third proportional to 1,283,160,327,408 and 2,719,303,320,409.80 is: 5,762,811,077,029.61
Step by Step Solution
- Step 1: Write the proportion equation
1,283,160,327,408 : 2,719,303,320,409.80 = 2,719,303,320,409.80 : x - Step 2: Convert to fraction form
1,283,160,327,408/2,719,303,320,409.80 = 2,719,303,320,409.80/x - Step 3: Cross multiply
1,283,160,327,408x = 2,719,303,320,409.80 × 2,719,303,320,409.80 - Step 4: Simplify right side
1,283,160,327,408x = 7,394,610,548,391,762,783,633,408 - Step 5: Solve for x
x = 7,394,610,548,391,762,783,633,408/1,283,160,327,408 - Step 6: Final answer
x = 5,762,811,077,029.61
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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.