Finding the Third Proportional to 448,585,132,708 and 965,206,484,192
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Solution
The third proportional to 448,585,132,708 and 965,206,484,192 is: 2,076,804,354,844.07
Step by Step Solution
- Step 1: Write the proportion equation
448,585,132,708 : 965,206,484,192 = 965,206,484,192 : x - Step 2: Convert to fraction form
448,585,132,708/965,206,484,192 = 965,206,484,192/x - Step 3: Cross multiply
448,585,132,708x = 965,206,484,192 × 965,206,484,192 - Step 4: Simplify right side
448,585,132,708x = 931,623,557,126,281,565,831,168 - Step 5: Solve for x
x = 931,623,557,126,281,565,831,168/448,585,132,708 - Step 6: Final answer
x = 2,076,804,354,844.07
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.