Finding the Third Proportional to 476,123,563,560 and 1,027,988,039,400
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Solution
The third proportional to 476,123,563,560 and 1,027,988,039,400 is: 2,219,506,636,571.42
Step by Step Solution
- Step 1: Write the proportion equation
476,123,563,560 : 1,027,988,039,400 = 1,027,988,039,400 : x - Step 2: Convert to fraction form
476,123,563,560/1,027,988,039,400 = 1,027,988,039,400/x - Step 3: Cross multiply
476,123,563,560x = 1,027,988,039,400 × 1,027,988,039,400 - Step 4: Simplify right side
476,123,563,560x = 1,056,759,409,149,455,892,480,000 - Step 5: Solve for x
x = 1,056,759,409,149,455,892,480,000/476,123,563,560 - Step 6: Final answer
x = 2,219,506,636,571.42
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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.