Finding the Third Proportional to 9,850,012,859,232 and 21,182,418,783,364
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Solution
The third proportional to 9,850,012,859,232 and 21,182,418,783,364 is: 45,552,718,755,414.55
Step by Step Solution
- Step 1: Write the proportion equation
9,850,012,859,232 : 21,182,418,783,364 = 21,182,418,783,364 : x - Step 2: Convert to fraction form
9,850,012,859,232/21,182,418,783,364 = 21,182,418,783,364/x - Step 3: Cross multiply
9,850,012,859,232x = 21,182,418,783,364 × 21,182,418,783,364 - Step 4: Simplify right side
9,850,012,859,232x = 448,694,865,513,811,971,881,828,352 - Step 5: Solve for x
x = 448,694,865,513,811,971,881,828,352/9,850,012,859,232 - Step 6: Final answer
x = 45,552,718,755,414.55
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.