Finding the Third Proportional to 796,202,970,678 and 1,754,697,461,148
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Solution
The third proportional to 796,202,970,678 and 1,754,697,461,148 is: 3,867,058,141,641.16
Step by Step Solution
- Step 1: Write the proportion equation
796,202,970,678 : 1,754,697,461,148 = 1,754,697,461,148 : x - Step 2: Convert to fraction form
796,202,970,678/1,754,697,461,148 = 1,754,697,461,148/x - Step 3: Cross multiply
796,202,970,678x = 1,754,697,461,148 × 1,754,697,461,148 - Step 4: Simplify right side
796,202,970,678x = 3,078,963,180,159,236,977,983,488 - Step 5: Solve for x
x = 3,078,963,180,159,236,977,983,488/796,202,970,678 - Step 6: Final answer
x = 3,867,058,141,641.16
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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.