Finding the Third Proportional to 276,135,929,838 and 645,178,129,794
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Solution
The third proportional to 276,135,929,838 and 645,178,129,794 is: 1,507,427,227,629.11
Step by Step Solution
- Step 1: Write the proportion equation
276,135,929,838 : 645,178,129,794 = 645,178,129,794 : x - Step 2: Convert to fraction form
276,135,929,838/645,178,129,794 = 645,178,129,794/x - Step 3: Cross multiply
276,135,929,838x = 645,178,129,794 × 645,178,129,794 - Step 4: Simplify right side
276,135,929,838x = 416,254,819,164,483,485,696,000 - Step 5: Solve for x
x = 416,254,819,164,483,485,696,000/276,135,929,838 - Step 6: Final answer
x = 1,507,427,227,629.11
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Why These Related Problems?
These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.