Finding the Third Proportional to 346,488,027,315.75 and 509,352,770,779.88
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Solution
The third proportional to 346,488,027,315.75 and 509,352,770,779.88 is: 748,771,168,548.10
Step by Step Solution
- Step 1: Write the proportion equation
346,488,027,315.75 : 509,352,770,779.88 = 509,352,770,779.88 : x - Step 2: Convert to fraction form
346,488,027,315.75/509,352,770,779.88 = 509,352,770,779.88/x - Step 3: Cross multiply
346,488,027,315.75x = 509,352,770,779.88 × 509,352,770,779.88 - Step 4: Simplify right side
346,488,027,315.75x = 259,440,245,101,140,981,579,776 - Step 5: Solve for x
x = 259,440,245,101,140,981,579,776/346,488,027,315.75 - Step 6: Final answer
x = 748,771,168,548.10
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Why These Related Problems?
These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.