Finding the Third Proportional to 476,123,563,542 and 1,027,988,039,364
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Solution
The third proportional to 476,123,563,542 and 1,027,988,039,364 is: 2,219,506,636,499.88
Step by Step Solution
- Step 1: Write the proportion equation
476,123,563,542 : 1,027,988,039,364 = 1,027,988,039,364 : x - Step 2: Convert to fraction form
476,123,563,542/1,027,988,039,364 = 1,027,988,039,364/x - Step 3: Cross multiply
476,123,563,542x = 1,027,988,039,364 × 1,027,988,039,364 - Step 4: Simplify right side
476,123,563,542x = 1,056,759,409,075,440,855,285,760 - Step 5: Solve for x
x = 1,056,759,409,075,440,855,285,760/476,123,563,542 - Step 6: Final answer
x = 2,219,506,636,499.88
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.