Finding the Third Proportional to 9,856,949,976,215 and 21,070,417,040,494
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Solution
The third proportional to 9,856,949,976,215 and 21,070,417,040,494 is: 45,040,552,638,658.96
Step by Step Solution
- Step 1: Write the proportion equation
9,856,949,976,215 : 21,070,417,040,494 = 21,070,417,040,494 : x - Step 2: Convert to fraction form
9,856,949,976,215/21,070,417,040,494 = 21,070,417,040,494/x - Step 3: Cross multiply
9,856,949,976,215x = 21,070,417,040,494 × 21,070,417,040,494 - Step 4: Simplify right side
9,856,949,976,215x = 443,962,474,260,339,923,156,467,712 - Step 5: Solve for x
x = 443,962,474,260,339,923,156,467,712/9,856,949,976,215 - Step 6: Final answer
x = 45,040,552,638,658.96
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.