Finding the Third Proportional to 10,382,916,935,110 and 15,263,348,494,506
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Solution
The third proportional to 10,382,916,935,110 and 15,263,348,494,506 is: 22,437,799,389,201.26
Step by Step Solution
- Step 1: Write the proportion equation
10,382,916,935,110 : 15,263,348,494,506 = 15,263,348,494,506 : x - Step 2: Convert to fraction form
10,382,916,935,110/15,263,348,494,506 = 15,263,348,494,506/x - Step 3: Cross multiply
10,382,916,935,110x = 15,263,348,494,506 × 15,263,348,494,506 - Step 4: Simplify right side
10,382,916,935,110x = 232,969,807,264,738,561,828,585,472 - Step 5: Solve for x
x = 232,969,807,264,738,561,828,585,472/10,382,916,935,110 - Step 6: Final answer
x = 22,437,799,389,201.26
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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.