Finding the Third Proportional to 432,190,528 and 946,347,872
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Solution
The third proportional to 432,190,528 and 946,347,872 is: 2,072,174,739.65
Step by Step Solution
- Step 1: Write the proportion equation
432,190,528 : 946,347,872 = 946,347,872 : x - Step 2: Convert to fraction form
432,190,528/946,347,872 = 946,347,872/x - Step 3: Cross multiply
432,190,528x = 946,347,872 × 946,347,872 - Step 4: Simplify right side
432,190,528x = 895,574,294,838,928,384 - Step 5: Solve for x
x = 895,574,294,838,928,384/432,190,528 - Step 6: Final answer
x = 2,072,174,739.65
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.