Finding the Third Proportional to 264,932,598,280 and 577,815,208,009
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Solution
The third proportional to 264,932,598,280 and 577,815,208,009 is: 1,260,208,886,237.64
Step by Step Solution
- Step 1: Write the proportion equation
264,932,598,280 : 577,815,208,009 = 577,815,208,009 : x - Step 2: Convert to fraction form
264,932,598,280/577,815,208,009 = 577,815,208,009/x - Step 3: Cross multiply
264,932,598,280x = 577,815,208,009 × 577,815,208,009 - Step 4: Simplify right side
264,932,598,280x = 333,870,414,606,483,926,810,624 - Step 5: Solve for x
x = 333,870,414,606,483,926,810,624/264,932,598,280 - Step 6: Final answer
x = 1,260,208,886,237.64
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.