Finding the Third Proportional to 237,418,976,259 and 512,029,269,702
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Solution
The third proportional to 237,418,976,259 and 512,029,269,702 is: 1,104,267,136,362.17
Step by Step Solution
- Step 1: Write the proportion equation
237,418,976,259 : 512,029,269,702 = 512,029,269,702 : x - Step 2: Convert to fraction form
237,418,976,259/512,029,269,702 = 512,029,269,702/x - Step 3: Cross multiply
237,418,976,259x = 512,029,269,702 × 512,029,269,702 - Step 4: Simplify right side
237,418,976,259x = 262,173,973,031,563,466,637,312 - Step 5: Solve for x
x = 262,173,973,031,563,466,637,312/237,418,976,259 - Step 6: Final answer
x = 1,104,267,136,362.17
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.