Finding the Third Proportional to 493,606,703,410 and 1,001,092,503,300
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Solution
The third proportional to 493,606,703,410 and 1,001,092,503,300 is: 2,030,333,448,148.14
Step by Step Solution
- Step 1: Write the proportion equation
493,606,703,410 : 1,001,092,503,300 = 1,001,092,503,300 : x - Step 2: Convert to fraction form
493,606,703,410/1,001,092,503,300 = 1,001,092,503,300/x - Step 3: Cross multiply
493,606,703,410x = 1,001,092,503,300 × 1,001,092,503,300 - Step 4: Simplify right side
493,606,703,410x = 1,002,186,200,163,460,549,967,872 - Step 5: Solve for x
x = 1,002,186,200,163,460,549,967,872/493,606,703,410 - Step 6: Final answer
x = 2,030,333,448,148.14
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Why These Related Problems?
These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.