Finding the Third Proportional to 7,576,745,772,584 and 15,555,156,911,269
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Solution
The third proportional to 7,576,745,772,584 and 15,555,156,911,269 is: 31,934,938,005,934.95
Step by Step Solution
- Step 1: Write the proportion equation
7,576,745,772,584 : 15,555,156,911,269 = 15,555,156,911,269 : x - Step 2: Convert to fraction form
7,576,745,772,584/15,555,156,911,269 = 15,555,156,911,269/x - Step 3: Cross multiply
7,576,745,772,584x = 15,555,156,911,269 × 15,555,156,911,269 - Step 4: Simplify right side
7,576,745,772,584x = 241,962,906,534,199,744,899,579,904 - Step 5: Solve for x
x = 241,962,906,534,199,744,899,579,904/7,576,745,772,584 - Step 6: Final answer
x = 31,934,938,005,934.95
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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.