Finding the Third Proportional to 260,006,818,648 and 527,324,437,853
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Solution
The third proportional to 260,006,818,648 and 527,324,437,853 is: 1,069,476,039,908.93
Step by Step Solution
- Step 1: Write the proportion equation
260,006,818,648 : 527,324,437,853 = 527,324,437,853 : x - Step 2: Convert to fraction form
260,006,818,648/527,324,437,853 = 527,324,437,853/x - Step 3: Cross multiply
260,006,818,648x = 527,324,437,853 × 527,324,437,853 - Step 4: Simplify right side
260,006,818,648x = 278,071,062,756,982,473,621,504 - Step 5: Solve for x
x = 278,071,062,756,982,473,621,504/260,006,818,648 - Step 6: Final answer
x = 1,069,476,039,908.93
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Why These Related Problems?
These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.