Finding the Third Proportional to 796,202,970,688 and 1,754,697,461,168
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Solution
The third proportional to 796,202,970,688 and 1,754,697,461,168 is: 3,867,058,141,680.74
Step by Step Solution
- Step 1: Write the proportion equation
796,202,970,688 : 1,754,697,461,168 = 1,754,697,461,168 : x - Step 2: Convert to fraction form
796,202,970,688/1,754,697,461,168 = 1,754,697,461,168/x - Step 3: Cross multiply
796,202,970,688x = 1,754,697,461,168 × 1,754,697,461,168 - Step 4: Simplify right side
796,202,970,688x = 3,078,963,180,229,424,796,663,808 - Step 5: Solve for x
x = 3,078,963,180,229,424,796,663,808/796,202,970,688 - Step 6: Final answer
x = 3,867,058,141,680.74
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.