Finding the Third Proportional to 1,161,107,748,828 and 1,817,450,752,194
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Solution
The third proportional to 1,161,107,748,828 and 1,817,450,752,194 is: 2,844,806,814,858.18
Step by Step Solution
- Step 1: Write the proportion equation
1,161,107,748,828 : 1,817,450,752,194 = 1,817,450,752,194 : x - Step 2: Convert to fraction form
1,161,107,748,828/1,817,450,752,194 = 1,817,450,752,194/x - Step 3: Cross multiply
1,161,107,748,828x = 1,817,450,752,194 × 1,817,450,752,194 - Step 4: Simplify right side
1,161,107,748,828x = 3,303,127,236,650,536,349,466,624 - Step 5: Solve for x
x = 3,303,127,236,650,536,349,466,624/1,161,107,748,828 - Step 6: Final answer
x = 2,844,806,814,858.18
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.