Finding the Third Proportional to 745,178,467,102 and 1,620,920,079,804
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Solution
The third proportional to 745,178,467,102 and 1,620,920,079,804 is: 3,525,842,494,254.70
Step by Step Solution
- Step 1: Write the proportion equation
745,178,467,102 : 1,620,920,079,804 = 1,620,920,079,804 : x - Step 2: Convert to fraction form
745,178,467,102/1,620,920,079,804 = 1,620,920,079,804/x - Step 3: Cross multiply
745,178,467,102x = 1,620,920,079,804 × 1,620,920,079,804 - Step 4: Simplify right side
745,178,467,102x = 2,627,381,905,111,805,960,650,752 - Step 5: Solve for x
x = 2,627,381,905,111,805,960,650,752/745,178,467,102 - Step 6: Final answer
x = 3,525,842,494,254.70
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.