Finding the Third Proportional to 32,284,114,961 and 45,443,337,102
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Solution
The third proportional to 32,284,114,961 and 45,443,337,102 is: 63,966,346,590.60
Step by Step Solution
- Step 1: Write the proportion equation
32,284,114,961 : 45,443,337,102 = 45,443,337,102 : x - Step 2: Convert to fraction form
32,284,114,961/45,443,337,102 = 45,443,337,102/x - Step 3: Cross multiply
32,284,114,961x = 45,443,337,102 × 45,443,337,102 - Step 4: Simplify right side
32,284,114,961x = 2,065,096,886,966,009,724,928 - Step 5: Solve for x
x = 2,065,096,886,966,009,724,928/32,284,114,961 - Step 6: Final answer
x = 63,966,346,590.60
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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.