Finding the Third Proportional to 461,251,912 and 742,767,498
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Solution
The third proportional to 461,251,912 and 742,767,498 is: 1,196,100,312.50
Step by Step Solution
- Step 1: Write the proportion equation
461,251,912 : 742,767,498 = 742,767,498 : x - Step 2: Convert to fraction form
461,251,912/742,767,498 = 742,767,498/x - Step 3: Cross multiply
461,251,912x = 742,767,498 × 742,767,498 - Step 4: Simplify right side
461,251,912x = 551,703,556,085,180,032 - Step 5: Solve for x
x = 551,703,556,085,180,032/461,251,912 - Step 6: Final answer
x = 1,196,100,312.50
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Why These Related Problems?
These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.