Finding the Third Proportional to 10,382,916,943,430 and 15,263,348,505,553
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Solution
The third proportional to 10,382,916,943,430 and 15,263,348,505,553 is: 22,437,799,403,700.64
Step by Step Solution
- Step 1: Write the proportion equation
10,382,916,943,430 : 15,263,348,505,553 = 15,263,348,505,553 : x - Step 2: Convert to fraction form
10,382,916,943,430/15,263,348,505,553 = 15,263,348,505,553/x - Step 3: Cross multiply
10,382,916,943,430x = 15,263,348,505,553 × 15,263,348,505,553 - Step 4: Simplify right side
10,382,916,943,430x = 232,969,807,601,966,990,044,954,624 - Step 5: Solve for x
x = 232,969,807,601,966,990,044,954,624/10,382,916,943,430 - Step 6: Final answer
x = 22,437,799,403,700.64
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.