Finding the Third Proportional to 508,980,428,200 and 1,107,322,627,502
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Solution
The third proportional to 508,980,428,200 and 1,107,322,627,502 is: 2,409,058,056,935.98
Step by Step Solution
- Step 1: Write the proportion equation
508,980,428,200 : 1,107,322,627,502 = 1,107,322,627,502 : x - Step 2: Convert to fraction form
508,980,428,200/1,107,322,627,502 = 1,107,322,627,502/x - Step 3: Cross multiply
508,980,428,200x = 1,107,322,627,502 × 1,107,322,627,502 - Step 4: Simplify right side
508,980,428,200x = 1,226,163,401,377,933,065,977,856 - Step 5: Solve for x
x = 1,226,163,401,377,933,065,977,856/508,980,428,200 - Step 6: Final answer
x = 2,409,058,056,935.98
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.