Finding the Third Proportional to 1,730,486,157,292 and 2,543,891,417,658
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Solution
The third proportional to 1,730,486,157,292 and 2,543,891,417,658 is: 3,739,633,234,027.69
Step by Step Solution
- Step 1: Write the proportion equation
1,730,486,157,292 : 2,543,891,417,658 = 2,543,891,417,658 : x - Step 2: Convert to fraction form
1,730,486,157,292/2,543,891,417,658 = 2,543,891,417,658/x - Step 3: Cross multiply
1,730,486,157,292x = 2,543,891,417,658 × 2,543,891,417,658 - Step 4: Simplify right side
1,730,486,157,292x = 6,471,383,544,834,029,183,303,680 - Step 5: Solve for x
x = 6,471,383,544,834,029,183,303,680/1,730,486,157,292 - Step 6: Final answer
x = 3,739,633,234,027.69
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.