Finding the Third Proportional to 390,700,511,305 and 846,308,303,424
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Solution
The third proportional to 390,700,511,305 and 846,308,303,424 is: 1,833,214,249,072.94
Step by Step Solution
- Step 1: Write the proportion equation
390,700,511,305 : 846,308,303,424 = 846,308,303,424 : x - Step 2: Convert to fraction form
390,700,511,305/846,308,303,424 = 846,308,303,424/x - Step 3: Cross multiply
390,700,511,305x = 846,308,303,424 × 846,308,303,424 - Step 4: Simplify right side
390,700,511,305x = 716,237,744,444,409,259,229,184 - Step 5: Solve for x
x = 716,237,744,444,409,259,229,184/390,700,511,305 - Step 6: Final answer
x = 1,833,214,249,072.94
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.