Finding the Third Proportional to 870,830,811,630 and 1,363,088,064,159
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Solution
The third proportional to 870,830,811,630 and 1,363,088,064,159 is: 2,133,605,111,163.85
Step by Step Solution
- Step 1: Write the proportion equation
870,830,811,630 : 1,363,088,064,159 = 1,363,088,064,159 : x - Step 2: Convert to fraction form
870,830,811,630/1,363,088,064,159 = 1,363,088,064,159/x - Step 3: Cross multiply
870,830,811,630x = 1,363,088,064,159 × 1,363,088,064,159 - Step 4: Simplify right side
870,830,811,630x = 1,858,009,070,652,729,969,344,512 - Step 5: Solve for x
x = 1,858,009,070,652,729,969,344,512/870,830,811,630 - Step 6: Final answer
x = 2,133,605,111,163.85
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.