Finding the Third Proportional to 216,186,840,044 and 464,909,055,928
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Solution
The third proportional to 216,186,840,044 and 464,909,055,928 is: 999,785,325,692.69
Step by Step Solution
- Step 1: Write the proportion equation
216,186,840,044 : 464,909,055,928 = 464,909,055,928 : x - Step 2: Convert to fraction form
216,186,840,044/464,909,055,928 = 464,909,055,928/x - Step 3: Cross multiply
216,186,840,044x = 464,909,055,928 × 464,909,055,928 - Step 4: Simplify right side
216,186,840,044x = 216,140,430,283,864,235,048,960 - Step 5: Solve for x
x = 216,140,430,283,864,235,048,960/216,186,840,044 - Step 6: Final answer
x = 999,785,325,692.69
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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.