Finding the Third Proportional to 997,760,760,392 and 2,048,415,725,328
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Solution
The third proportional to 997,760,760,392 and 2,048,415,725,328 is: 4,205,423,935,616.10
Step by Step Solution
- Step 1: Write the proportion equation
997,760,760,392 : 2,048,415,725,328 = 2,048,415,725,328 : x - Step 2: Convert to fraction form
997,760,760,392/2,048,415,725,328 = 2,048,415,725,328/x - Step 3: Cross multiply
997,760,760,392x = 2,048,415,725,328 × 2,048,415,725,328 - Step 4: Simplify right side
997,760,760,392x = 4,196,006,983,771,036,403,630,080 - Step 5: Solve for x
x = 4,196,006,983,771,036,403,630,080/997,760,760,392 - Step 6: Final answer
x = 4,205,423,935,616.10
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.