Finding the Third Proportional to 18,975,973,633,596 and 26,722,352,411,688
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Solution
The third proportional to 18,975,973,633,596 and 26,722,352,411,688 is: 37,630,960,719,201.13
Step by Step Solution
- Step 1: Write the proportion equation
18,975,973,633,596 : 26,722,352,411,688 = 26,722,352,411,688 : x - Step 2: Convert to fraction form
18,975,973,633,596/26,722,352,411,688 = 26,722,352,411,688/x - Step 3: Cross multiply
18,975,973,633,596x = 26,722,352,411,688 × 26,722,352,411,688 - Step 4: Simplify right side
18,975,973,633,596x = 714,084,118,414,447,442,317,541,376 - Step 5: Solve for x
x = 714,084,118,414,447,442,317,541,376/18,975,973,633,596 - Step 6: Final answer
x = 37,630,960,719,201.13
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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.