Finding the Third Proportional to 555,309,715,980 and 781,998,446,682
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Solution
The third proportional to 555,309,715,980 and 781,998,446,682 is: 1,101,226,132,040.31
Step by Step Solution
- Step 1: Write the proportion equation
555,309,715,980 : 781,998,446,682 = 781,998,446,682 : x - Step 2: Convert to fraction form
555,309,715,980/781,998,446,682 = 781,998,446,682/x - Step 3: Cross multiply
555,309,715,980x = 781,998,446,682 × 781,998,446,682 - Step 4: Simplify right side
555,309,715,980x = 611,521,570,613,060,740,055,040 - Step 5: Solve for x
x = 611,521,570,613,060,740,055,040/555,309,715,980 - Step 6: Final answer
x = 1,101,226,132,040.31
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.