Finding the Third Proportional to 1,546,389,973,406 and 3,136,873,340,872
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Solution
The third proportional to 1,546,389,973,406 and 3,136,873,340,872 is: 6,363,190,738,362.35
Step by Step Solution
- Step 1: Write the proportion equation
1,546,389,973,406 : 3,136,873,340,872 = 3,136,873,340,872 : x - Step 2: Convert to fraction form
1,546,389,973,406/3,136,873,340,872 = 3,136,873,340,872/x - Step 3: Cross multiply
1,546,389,973,406x = 3,136,873,340,872 × 3,136,873,340,872 - Step 4: Simplify right side
1,546,389,973,406x = 9,839,974,356,673,462,517,366,784 - Step 5: Solve for x
x = 9,839,974,356,673,462,517,366,784/1,546,389,973,406 - Step 6: Final answer
x = 6,363,190,738,362.35
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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.