Finding the Third Proportional to 508,980,428,232 and 1,107,322,627,566
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Solution
The third proportional to 508,980,428,232 and 1,107,322,627,566 is: 2,409,058,057,062.99
Step by Step Solution
- Step 1: Write the proportion equation
508,980,428,232 : 1,107,322,627,566 = 1,107,322,627,566 : x - Step 2: Convert to fraction form
508,980,428,232/1,107,322,627,566 = 1,107,322,627,566/x - Step 3: Cross multiply
508,980,428,232x = 1,107,322,627,566 × 1,107,322,627,566 - Step 4: Simplify right side
508,980,428,232x = 1,226,163,401,519,670,476,406,784 - Step 5: Solve for x
x = 1,226,163,401,519,670,476,406,784/508,980,428,232 - Step 6: Final answer
x = 2,409,058,057,062.99
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.