Finding the Third Proportional to 970,647,359,274 and 2,110,241,079,810
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Solution
The third proportional to 970,647,359,274 and 2,110,241,079,810 is: 4,587,780,899,386.99
Step by Step Solution
- Step 1: Write the proportion equation
970,647,359,274 : 2,110,241,079,810 = 2,110,241,079,810 : x - Step 2: Convert to fraction form
970,647,359,274/2,110,241,079,810 = 2,110,241,079,810/x - Step 3: Cross multiply
970,647,359,274x = 2,110,241,079,810 × 2,110,241,079,810 - Step 4: Simplify right side
970,647,359,274x = 4,453,117,414,917,674,811,523,072 - Step 5: Solve for x
x = 4,453,117,414,917,674,811,523,072/970,647,359,274 - Step 6: Final answer
x = 4,587,780,899,386.99
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.