Finding the Third Proportional to 5,470,941,616 and 12,902,000,566
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Solution
The third proportional to 5,470,941,616 and 12,902,000,566 is: 30,426,502,472.31
Step by Step Solution
- Step 1: Write the proportion equation
5,470,941,616 : 12,902,000,566 = 12,902,000,566 : x - Step 2: Convert to fraction form
5,470,941,616/12,902,000,566 = 12,902,000,566/x - Step 3: Cross multiply
5,470,941,616x = 12,902,000,566 × 12,902,000,566 - Step 4: Simplify right side
5,470,941,616x = 166,461,618,605,064,323,072 - Step 5: Solve for x
x = 166,461,618,605,064,323,072/5,470,941,616 - Step 6: Final answer
x = 30,426,502,472.31
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.