Finding the Third Proportional to 83,886,560,534 and 184,013,991,196
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Solution
The third proportional to 83,886,560,534 and 184,013,991,196 is: 403,654,038,743.87
Step by Step Solution
- Step 1: Write the proportion equation
83,886,560,534 : 184,013,991,196 = 184,013,991,196 : x - Step 2: Convert to fraction form
83,886,560,534/184,013,991,196 = 184,013,991,196/x - Step 3: Cross multiply
83,886,560,534x = 184,013,991,196 × 184,013,991,196 - Step 4: Simplify right side
83,886,560,534x = 33,861,148,955,881,563,488,256 - Step 5: Solve for x
x = 33,861,148,955,881,563,488,256/83,886,560,534 - Step 6: Final answer
x = 403,654,038,743.87
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.