Finding the Third Proportional to 525,977,026,212 and 813,119,582,970
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Solution
The third proportional to 525,977,026,212 and 813,119,582,970 is: 1,257,019,647,741.84
Step by Step Solution
- Step 1: Write the proportion equation
525,977,026,212 : 813,119,582,970 = 813,119,582,970 : x - Step 2: Convert to fraction form
525,977,026,212/813,119,582,970 = 813,119,582,970/x - Step 3: Cross multiply
525,977,026,212x = 813,119,582,970 × 813,119,582,970 - Step 4: Simplify right side
525,977,026,212x = 661,163,456,209,306,752,385,024 - Step 5: Solve for x
x = 661,163,456,209,306,752,385,024/525,977,026,212 - Step 6: Final answer
x = 1,257,019,647,741.84
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.