Finding the Third Proportional to 255,038,294,641.50 and 590,429,284,971.75
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Solution
The third proportional to 255,038,294,641.50 and 590,429,284,971.75 is: 1,366,879,985,777.35
Step by Step Solution
- Step 1: Write the proportion equation
255,038,294,641.50 : 590,429,284,971.75 = 590,429,284,971.75 : x - Step 2: Convert to fraction form
255,038,294,641.50/590,429,284,971.75 = 590,429,284,971.75/x - Step 3: Cross multiply
255,038,294,641.50x = 590,429,284,971.75 × 590,429,284,971.75 - Step 4: Simplify right side
255,038,294,641.50x = 348,606,740,552,251,961,507,840 - Step 5: Solve for x
x = 348,606,740,552,251,961,507,840/255,038,294,641.50 - Step 6: Final answer
x = 1,366,879,985,777.35
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Why These Related Problems?
These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.