Finding the Third Proportional to 238,164,784 and 510,789,632
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Solution
The third proportional to 238,164,784 and 510,789,632 is: 1,095,485,418.86
Step by Step Solution
- Step 1: Write the proportion equation
238,164,784 : 510,789,632 = 510,789,632 : x - Step 2: Convert to fraction form
238,164,784/510,789,632 = 510,789,632/x - Step 3: Cross multiply
238,164,784x = 510,789,632 × 510,789,632 - Step 4: Simplify right side
238,164,784x = 260,906,048,158,695,424 - Step 5: Solve for x
x = 260,906,048,158,695,424/238,164,784 - Step 6: Final answer
x = 1,095,485,418.86
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.