Finding the Third Proportional to 974,359,690,056 and 2,028,905,061,030
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Solution
The third proportional to 974,359,690,056 and 2,028,905,061,030 is: 4,224,780,426,247.48
Step by Step Solution
- Step 1: Write the proportion equation
974,359,690,056 : 2,028,905,061,030 = 2,028,905,061,030 : x - Step 2: Convert to fraction form
974,359,690,056/2,028,905,061,030 = 2,028,905,061,030/x - Step 3: Cross multiply
974,359,690,056x = 2,028,905,061,030 × 2,028,905,061,030 - Step 4: Simplify right side
974,359,690,056x = 4,116,455,746,673,147,780,268,032 - Step 5: Solve for x
x = 4,116,455,746,673,147,780,268,032/974,359,690,056 - Step 6: Final answer
x = 4,224,780,426,247.48
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.