Finding the Third Proportional to 274,401,456,584 and 594,389,371,024
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Solution
The third proportional to 274,401,456,584 and 594,389,371,024 is: 1,287,524,959,905.43
Step by Step Solution
- Step 1: Write the proportion equation
274,401,456,584 : 594,389,371,024 = 594,389,371,024 : x - Step 2: Convert to fraction form
274,401,456,584/594,389,371,024 = 594,389,371,024/x - Step 3: Cross multiply
274,401,456,584x = 594,389,371,024 × 594,389,371,024 - Step 4: Simplify right side
274,401,456,584x = 353,298,724,386,306,363,752,448 - Step 5: Solve for x
x = 353,298,724,386,306,363,752,448/274,401,456,584 - Step 6: Final answer
x = 1,287,524,959,905.43
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.