Finding the Third Proportional to 512,207,702 and 1,102,101,120
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Solution
The third proportional to 512,207,702 and 1,102,101,120 is: 2,371,356,139.24
Step by Step Solution
- Step 1: Write the proportion equation
512,207,702 : 1,102,101,120 = 1,102,101,120 : x - Step 2: Convert to fraction form
512,207,702/1,102,101,120 = 1,102,101,120/x - Step 3: Cross multiply
512,207,702x = 1,102,101,120 × 1,102,101,120 - Step 4: Simplify right side
512,207,702x = 1,214,626,878,705,254,400 - Step 5: Solve for x
x = 1,214,626,878,705,254,400/512,207,702 - Step 6: Final answer
x = 2,371,356,139.24
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.