Finding the Third Proportional to 476,123,563,562 and 1,027,988,039,404
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Solution
The third proportional to 476,123,563,562 and 1,027,988,039,404 is: 2,219,506,636,579.37
Step by Step Solution
- Step 1: Write the proportion equation
476,123,563,562 : 1,027,988,039,404 = 1,027,988,039,404 : x - Step 2: Convert to fraction form
476,123,563,562/1,027,988,039,404 = 1,027,988,039,404/x - Step 3: Cross multiply
476,123,563,562x = 1,027,988,039,404 × 1,027,988,039,404 - Step 4: Simplify right side
476,123,563,562x = 1,056,759,409,157,679,815,327,744 - Step 5: Solve for x
x = 1,056,759,409,157,679,815,327,744/476,123,563,562 - Step 6: Final answer
x = 2,219,506,636,579.37
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.