Finding the Third Proportional to 301,861,248,551 and 646,126,829,134
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Solution
The third proportional to 301,861,248,551 and 646,126,829,134 is: 1,383,019,123,291.75
Step by Step Solution
- Step 1: Write the proportion equation
301,861,248,551 : 646,126,829,134 = 646,126,829,134 : x - Step 2: Convert to fraction form
301,861,248,551/646,126,829,134 = 646,126,829,134/x - Step 3: Cross multiply
301,861,248,551x = 646,126,829,134 × 646,126,829,134 - Step 4: Simplify right side
301,861,248,551x = 417,479,879,326,757,214,486,528 - Step 5: Solve for x
x = 417,479,879,326,757,214,486,528/301,861,248,551 - Step 6: Final answer
x = 1,383,019,123,291.75
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.