Finding the Third Proportional to 212,560,540,748 and 468,447,690,384
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Solution
The third proportional to 212,560,540,748 and 468,447,690,384 is: 1,032,379,941,516.35
Step by Step Solution
- Step 1: Write the proportion equation
212,560,540,748 : 468,447,690,384 = 468,447,690,384 : x - Step 2: Convert to fraction form
212,560,540,748/468,447,690,384 = 468,447,690,384/x - Step 3: Cross multiply
212,560,540,748x = 468,447,690,384 × 468,447,690,384 - Step 4: Simplify right side
212,560,540,748x = 219,443,238,626,103,933,272,064 - Step 5: Solve for x
x = 219,443,238,626,103,933,272,064/212,560,540,748 - Step 6: Final answer
x = 1,032,379,941,516.35
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.