Finding the Third Proportional to 659,307,113,108 and 1,428,145,262,599
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Solution
The third proportional to 659,307,113,108 and 1,428,145,262,599 is: 3,093,549,046,466.70
Step by Step Solution
- Step 1: Write the proportion equation
659,307,113,108 : 1,428,145,262,599 = 1,428,145,262,599 : x - Step 2: Convert to fraction form
659,307,113,108/1,428,145,262,599 = 1,428,145,262,599/x - Step 3: Cross multiply
659,307,113,108x = 1,428,145,262,599 × 1,428,145,262,599 - Step 4: Simplify right side
659,307,113,108x = 2,039,598,891,083,966,630,068,224 - Step 5: Solve for x
x = 2,039,598,891,083,966,630,068,224/659,307,113,108 - Step 6: Final answer
x = 3,093,549,046,466.70
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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.