Finding the Third Proportional to 7,576,745,772,583 and 15,555,156,911,266
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Solution
The third proportional to 7,576,745,772,583 and 15,555,156,911,266 is: 31,934,938,005,926.84
Step by Step Solution
- Step 1: Write the proportion equation
7,576,745,772,583 : 15,555,156,911,266 = 15,555,156,911,266 : x - Step 2: Convert to fraction form
7,576,745,772,583/15,555,156,911,266 = 15,555,156,911,266/x - Step 3: Cross multiply
7,576,745,772,583x = 15,555,156,911,266 × 15,555,156,911,266 - Step 4: Simplify right side
7,576,745,772,583x = 241,962,906,534,106,389,490,434,048 - Step 5: Solve for x
x = 241,962,906,534,106,389,490,434,048/7,576,745,772,583 - Step 6: Final answer
x = 31,934,938,005,926.84
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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.