Finding the Third Proportional to 42,088,229,743 and 91,585,685,247
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Solution
The third proportional to 42,088,229,743 and 91,585,685,247 is: 199,294,144,547.80
Step by Step Solution
- Step 1: Write the proportion equation
42,088,229,743 : 91,585,685,247 = 91,585,685,247 : x - Step 2: Convert to fraction form
42,088,229,743/91,585,685,247 = 91,585,685,247/x - Step 3: Cross multiply
42,088,229,743x = 91,585,685,247 × 91,585,685,247 - Step 4: Simplify right side
42,088,229,743x = 8,387,937,742,162,553,208,832 - Step 5: Solve for x
x = 8,387,937,742,162,553,208,832/42,088,229,743 - Step 6: Final answer
x = 199,294,144,547.80
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.