Finding the Third Proportional to 7,757,971.59 and 16,461,595.41
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Solution
The third proportional to 7,757,971.59 and 16,461,595.41 is: 34,929,764.83
Step by Step Solution
- Step 1: Write the proportion equation
7,757,971.59 : 16,461,595.41 = 16,461,595.41 : x - Step 2: Convert to fraction form
7,757,971.59/16,461,595.41 = 16,461,595.41/x - Step 3: Cross multiply
7,757,971.59x = 16,461,595.41 × 16,461,595.41 - Step 4: Simplify right side
7,757,971.59x = 270,984,123,319,071.09 - Step 5: Solve for x
x = 270,984,123,319,071.09/7,757,971.59 - Step 6: Final answer
x = 34,929,764.83
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.