Finding the Third Proportional to 76,617,903,410 and 179,013,993,806
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Solution
The third proportional to 76,617,903,410 and 179,013,993,806 is: 418,257,464,014.50
Step by Step Solution
- Step 1: Write the proportion equation
76,617,903,410 : 179,013,993,806 = 179,013,993,806 : x - Step 2: Convert to fraction form
76,617,903,410/179,013,993,806 = 179,013,993,806/x - Step 3: Cross multiply
76,617,903,410x = 179,013,993,806 × 179,013,993,806 - Step 4: Simplify right side
76,617,903,410x = 32,046,009,978,374,605,242,368 - Step 5: Solve for x
x = 32,046,009,978,374,605,242,368/76,617,903,410 - Step 6: Final answer
x = 418,257,464,014.50
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Why These Related Problems?
These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.