Finding the Third Proportional to 745,177,029,448 and 1,620,916,785,584
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Solution
The third proportional to 745,177,029,448 and 1,620,916,785,584 is: 3,525,834,965,329.28
Step by Step Solution
- Step 1: Write the proportion equation
745,177,029,448 : 1,620,916,785,584 = 1,620,916,785,584 : x - Step 2: Convert to fraction form
745,177,029,448/1,620,916,785,584 = 1,620,916,785,584/x - Step 3: Cross multiply
745,177,029,448x = 1,620,916,785,584 × 1,620,916,785,584 - Step 4: Simplify right side
745,177,029,448x = 2,627,371,225,787,966,842,470,400 - Step 5: Solve for x
x = 2,627,371,225,787,966,842,470,400/745,177,029,448 - Step 6: Final answer
x = 3,525,834,965,329.28
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.