Finding the Third Proportional to 775,500,563,115 and 1,697,088,433,065
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Solution
The third proportional to 775,500,563,115 and 1,697,088,433,065 is: 3,713,871,126,120.54
Step by Step Solution
- Step 1: Write the proportion equation
775,500,563,115 : 1,697,088,433,065 = 1,697,088,433,065 : x - Step 2: Convert to fraction form
775,500,563,115/1,697,088,433,065 = 1,697,088,433,065/x - Step 3: Cross multiply
775,500,563,115x = 1,697,088,433,065 × 1,697,088,433,065 - Step 4: Simplify right side
775,500,563,115x = 2,880,109,149,643,016,916,434,944 - Step 5: Solve for x
x = 2,880,109,149,643,016,916,434,944/775,500,563,115 - Step 6: Final answer
x = 3,713,871,126,120.54
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.