Finding the Third Proportional to 479,031,096,220 and 1,030,716,103,778
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Solution
The third proportional to 479,031,096,220 and 1,030,716,103,778 is: 2,217,759,337,484.42
Step by Step Solution
- Step 1: Write the proportion equation
479,031,096,220 : 1,030,716,103,778 = 1,030,716,103,778 : x - Step 2: Convert to fraction form
479,031,096,220/1,030,716,103,778 = 1,030,716,103,778/x - Step 3: Cross multiply
479,031,096,220x = 1,030,716,103,778 × 1,030,716,103,778 - Step 4: Simplify right side
479,031,096,220x = 1,062,375,686,587,300,888,707,072 - Step 5: Solve for x
x = 1,062,375,686,587,300,888,707,072/479,031,096,220 - Step 6: Final answer
x = 2,217,759,337,484.42
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.