Finding the Third Proportional to 12,759,754,881,984 and 27,454,762,208,448
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Solution
The third proportional to 12,759,754,881,984 and 27,454,762,208,448 is: 59,073,546,074,673.70
Step by Step Solution
- Step 1: Write the proportion equation
12,759,754,881,984 : 27,454,762,208,448 = 27,454,762,208,448 : x - Step 2: Convert to fraction form
12,759,754,881,984/27,454,762,208,448 = 27,454,762,208,448/x - Step 3: Cross multiply
12,759,754,881,984x = 27,454,762,208,448 × 27,454,762,208,448 - Step 4: Simplify right side
12,759,754,881,984x = 753,763,967,922,424,480,920,502,272 - Step 5: Solve for x
x = 753,763,967,922,424,480,920,502,272/12,759,754,881,984 - Step 6: Final answer
x = 59,073,546,074,673.70
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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.