Finding the Third Proportional to 47,498,466 and 103,742,016
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Solution
The third proportional to 47,498,466 and 103,742,016 is: 226,584,283.45
Step by Step Solution
- Step 1: Write the proportion equation
47,498,466 : 103,742,016 = 103,742,016 : x - Step 2: Convert to fraction form
47,498,466/103,742,016 = 103,742,016/x - Step 3: Cross multiply
47,498,466x = 103,742,016 × 103,742,016 - Step 4: Simplify right side
47,498,466x = 10,762,405,883,744,256 - Step 5: Solve for x
x = 10,762,405,883,744,256/47,498,466 - Step 6: Final answer
x = 226,584,283.45
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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.