Finding the Third Proportional to 424,736,154,936 and 910,055,122,488
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Solution
The third proportional to 424,736,154,936 and 910,055,122,488 is: 1,949,917,181,153.19
Step by Step Solution
- Step 1: Write the proportion equation
424,736,154,936 : 910,055,122,488 = 910,055,122,488 : x - Step 2: Convert to fraction form
424,736,154,936/910,055,122,488 = 910,055,122,488/x - Step 3: Cross multiply
424,736,154,936x = 910,055,122,488 × 910,055,122,488 - Step 4: Simplify right side
424,736,154,936x = 828,200,325,966,648,632,672,256 - Step 5: Solve for x
x = 828,200,325,966,648,632,672,256/424,736,154,936 - Step 6: Final answer
x = 1,949,917,181,153.19
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.