Finding the Third Proportional to 510,039,775,232 and 1,116,160,304,140
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Solution
The third proportional to 510,039,775,232 and 1,116,160,304,140 is: 2,442,581,706,438.91
Step by Step Solution
- Step 1: Write the proportion equation
510,039,775,232 : 1,116,160,304,140 = 1,116,160,304,140 : x - Step 2: Convert to fraction form
510,039,775,232/1,116,160,304,140 = 1,116,160,304,140/x - Step 3: Cross multiply
510,039,775,232x = 1,116,160,304,140 × 1,116,160,304,140 - Step 4: Simplify right side
510,039,775,232x = 1,245,813,824,537,897,281,257,472 - Step 5: Solve for x
x = 1,245,813,824,537,897,281,257,472/510,039,775,232 - Step 6: Final answer
x = 2,442,581,706,438.91
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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.