Finding the Third Proportional to 75,406,684 and 115,301,346
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Solution
The third proportional to 75,406,684 and 115,301,346 is: 176,302,678.81
Step by Step Solution
- Step 1: Write the proportion equation
75,406,684 : 115,301,346 = 115,301,346 : x - Step 2: Convert to fraction form
75,406,684/115,301,346 = 115,301,346/x - Step 3: Cross multiply
75,406,684x = 115,301,346 × 115,301,346 - Step 4: Simplify right side
75,406,684x = 13,294,400,389,411,716 - Step 5: Solve for x
x = 13,294,400,389,411,716/75,406,684 - Step 6: Final answer
x = 176,302,678.81
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.