Finding the Third Proportional to 47,105,178 and 71,105,607
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Solution
The third proportional to 47,105,178 and 71,105,607 is: 107,334,428.22
Step by Step Solution
- Step 1: Write the proportion equation
47,105,178 : 71,105,607 = 71,105,607 : x - Step 2: Convert to fraction form
47,105,178/71,105,607 = 71,105,607/x - Step 3: Cross multiply
47,105,178x = 71,105,607 × 71,105,607 - Step 4: Simplify right side
47,105,178x = 5,056,007,346,838,449 - Step 5: Solve for x
x = 5,056,007,346,838,449/47,105,178 - Step 6: Final answer
x = 107,334,428.22
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.