Finding the Third Proportional to 429,798,546,008 and 919,973,572,828
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Solution
The third proportional to 429,798,546,008 and 919,973,572,828 is: 1,969,181,567,883.11
Step by Step Solution
- Step 1: Write the proportion equation
429,798,546,008 : 919,973,572,828 = 919,973,572,828 : x - Step 2: Convert to fraction form
429,798,546,008/919,973,572,828 = 919,973,572,828/x - Step 3: Cross multiply
429,798,546,008x = 919,973,572,828 × 919,973,572,828 - Step 4: Simplify right side
429,798,546,008x = 846,351,374,701,915,484,979,200 - Step 5: Solve for x
x = 846,351,374,701,915,484,979,200/429,798,546,008 - Step 6: Final answer
x = 1,969,181,567,883.11
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.