Finding the Third Proportional to 282,114,744 and 435,749,478
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Solution
The third proportional to 282,114,744 and 435,749,478 is: 673,050,989.41
Step by Step Solution
- Step 1: Write the proportion equation
282,114,744 : 435,749,478 = 435,749,478 : x - Step 2: Convert to fraction form
282,114,744/435,749,478 = 435,749,478/x - Step 3: Cross multiply
282,114,744x = 435,749,478 × 435,749,478 - Step 4: Simplify right side
282,114,744x = 189,877,607,577,272,480 - Step 5: Solve for x
x = 189,877,607,577,272,480/282,114,744 - Step 6: Final answer
x = 673,050,989.41
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.