Finding the Third Proportional to 85,043,151,906 and 182,216,547,510
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Solution
The third proportional to 85,043,151,906 and 182,216,547,510 is: 390,423,795,947.31
Step by Step Solution
- Step 1: Write the proportion equation
85,043,151,906 : 182,216,547,510 = 182,216,547,510 : x - Step 2: Convert to fraction form
85,043,151,906/182,216,547,510 = 182,216,547,510/x - Step 3: Cross multiply
85,043,151,906x = 182,216,547,510 × 182,216,547,510 - Step 4: Simplify right side
85,043,151,906x = 33,202,870,186,464,086,327,296 - Step 5: Solve for x
x = 33,202,870,186,464,086,327,296/85,043,151,906 - Step 6: Final answer
x = 390,423,795,947.31
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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.