Finding the Third Proportional to 179,943,673,574 and 374,781,178,740
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Solution
The third proportional to 179,943,673,574 and 374,781,178,740 is: 780,582,774,308.99
Step by Step Solution
- Step 1: Write the proportion equation
179,943,673,574 : 374,781,178,740 = 374,781,178,740 : x - Step 2: Convert to fraction form
179,943,673,574/374,781,178,740 = 374,781,178,740/x - Step 3: Cross multiply
179,943,673,574x = 374,781,178,740 × 374,781,178,740 - Step 4: Simplify right side
179,943,673,574x = 140,460,931,937,743,830,777,856 - Step 5: Solve for x
x = 140,460,931,937,743,830,777,856/179,943,673,574 - Step 6: Final answer
x = 780,582,774,308.99
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.