Finding the Third Proportional to 508,980,428,196 and 1,107,322,627,494
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Solution
The third proportional to 508,980,428,196 and 1,107,322,627,494 is: 2,409,058,056,920.10
Step by Step Solution
- Step 1: Write the proportion equation
508,980,428,196 : 1,107,322,627,494 = 1,107,322,627,494 : x - Step 2: Convert to fraction form
508,980,428,196/1,107,322,627,494 = 1,107,322,627,494/x - Step 3: Cross multiply
508,980,428,196x = 1,107,322,627,494 × 1,107,322,627,494 - Step 4: Simplify right side
508,980,428,196x = 1,226,163,401,360,215,789,010,944 - Step 5: Solve for x
x = 1,226,163,401,360,215,789,010,944/508,980,428,196 - Step 6: Final answer
x = 2,409,058,056,920.10
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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.