Finding the Third Proportional to 9,582,445,284,921 and 21,307,388,583,402
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Solution
The third proportional to 9,582,445,284,921 and 21,307,388,583,402 is: 47,378,805,173,927.25
Step by Step Solution
- Step 1: Write the proportion equation
9,582,445,284,921 : 21,307,388,583,402 = 21,307,388,583,402 : x - Step 2: Convert to fraction form
9,582,445,284,921/21,307,388,583,402 = 21,307,388,583,402/x - Step 3: Cross multiply
9,582,445,284,921x = 21,307,388,583,402 × 21,307,388,583,402 - Step 4: Simplify right side
9,582,445,284,921x = 454,004,808,244,089,883,442,806,784 - Step 5: Solve for x
x = 454,004,808,244,089,883,442,806,784/9,582,445,284,921 - Step 6: Final answer
x = 47,378,805,173,927.25
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Why These Related Problems?
These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.