Finding the Third Proportional to 154,014,843,456 and 329,225,266,404
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Solution
The third proportional to 154,014,843,456 and 329,225,266,404 is: 703,758,635,249.66
Step by Step Solution
- Step 1: Write the proportion equation
154,014,843,456 : 329,225,266,404 = 329,225,266,404 : x - Step 2: Convert to fraction form
154,014,843,456/329,225,266,404 = 329,225,266,404/x - Step 3: Cross multiply
154,014,843,456x = 329,225,266,404 × 329,225,266,404 - Step 4: Simplify right side
154,014,843,456x = 108,389,276,038,784,771,686,400 - Step 5: Solve for x
x = 108,389,276,038,784,771,686,400/154,014,843,456 - Step 6: Final answer
x = 703,758,635,249.66
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.