Finding the Third Proportional to 132,810,166,534 and 286,783,019,948
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Solution
The third proportional to 132,810,166,534 and 286,783,019,948 is: 619,263,590,106.56
Step by Step Solution
- Step 1: Write the proportion equation
132,810,166,534 : 286,783,019,948 = 286,783,019,948 : x - Step 2: Convert to fraction form
132,810,166,534/286,783,019,948 = 286,783,019,948/x - Step 3: Cross multiply
132,810,166,534x = 286,783,019,948 × 286,783,019,948 - Step 4: Simplify right side
132,810,166,534x = 82,244,500,530,494,961,614,848 - Step 5: Solve for x
x = 82,244,500,530,494,961,614,848/132,810,166,534 - Step 6: Final answer
x = 619,263,590,106.56
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.