Finding the Third Proportional to 9,803,821,187,296 and 21,454,475,845,894
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Solution
The third proportional to 9,803,821,187,296 and 21,454,475,845,894 is: 46,950,523,171,363.89
Step by Step Solution
- Step 1: Write the proportion equation
9,803,821,187,296 : 21,454,475,845,894 = 21,454,475,845,894 : x - Step 2: Convert to fraction form
9,803,821,187,296/21,454,475,845,894 = 21,454,475,845,894/x - Step 3: Cross multiply
9,803,821,187,296x = 21,454,475,845,894 × 21,454,475,845,894 - Step 4: Simplify right side
9,803,821,187,296x = 460,294,533,822,049,084,759,867,392 - Step 5: Solve for x
x = 460,294,533,822,049,084,759,867,392/9,803,821,187,296 - Step 6: Final answer
x = 46,950,523,171,363.89
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.