Finding the Third Proportional to 400,238,582,998 and 609,735,796,047
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Solution
The third proportional to 400,238,582,998 and 609,735,796,047 is: 928,890,308,865.92
Step by Step Solution
- Step 1: Write the proportion equation
400,238,582,998 : 609,735,796,047 = 609,735,796,047 : x - Step 2: Convert to fraction form
400,238,582,998/609,735,796,047 = 609,735,796,047/x - Step 3: Cross multiply
400,238,582,998x = 609,735,796,047 × 609,735,796,047 - Step 4: Simplify right side
400,238,582,998x = 371,777,740,981,068,808,323,072 - Step 5: Solve for x
x = 371,777,740,981,068,808,323,072/400,238,582,998 - Step 6: Final answer
x = 928,890,308,865.92
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.