Finding the Third Proportional to 83,886,560,536 and 184,013,991,200
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Solution
The third proportional to 83,886,560,536 and 184,013,991,200 is: 403,654,038,751.80
Step by Step Solution
- Step 1: Write the proportion equation
83,886,560,536 : 184,013,991,200 = 184,013,991,200 : x - Step 2: Convert to fraction form
83,886,560,536/184,013,991,200 = 184,013,991,200/x - Step 3: Cross multiply
83,886,560,536x = 184,013,991,200 × 184,013,991,200 - Step 4: Simplify right side
83,886,560,536x = 33,861,148,957,353,676,111,872 - Step 5: Solve for x
x = 33,861,148,957,353,676,111,872/83,886,560,536 - Step 6: Final answer
x = 403,654,038,751.80
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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.