Finding the Third Proportional to 424,736,599,824 and 910,056,015,648
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Solution
The third proportional to 424,736,599,824 and 910,056,015,648 is: 1,949,918,966,155.26
Step by Step Solution
- Step 1: Write the proportion equation
424,736,599,824 : 910,056,015,648 = 910,056,015,648 : x - Step 2: Convert to fraction form
424,736,599,824/910,056,015,648 = 910,056,015,648/x - Step 3: Cross multiply
424,736,599,824x = 910,056,015,648 × 910,056,015,648 - Step 4: Simplify right side
424,736,599,824x = 828,201,951,617,112,839,553,024 - Step 5: Solve for x
x = 828,201,951,617,112,839,553,024/424,736,599,824 - Step 6: Final answer
x = 1,949,918,966,155.26
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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.