Finding the Third Proportional to 972,952,338 and 2,098,959,441
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Solution
The third proportional to 972,952,338 and 2,098,959,441 is: 4,528,105,399.30
Step by Step Solution
- Step 1: Write the proportion equation
972,952,338 : 2,098,959,441 = 2,098,959,441 : x - Step 2: Convert to fraction form
972,952,338/2,098,959,441 = 2,098,959,441/x - Step 3: Cross multiply
972,952,338x = 2,098,959,441 × 2,098,959,441 - Step 4: Simplify right side
972,952,338x = 4,405,630,734,963,032,576 - Step 5: Solve for x
x = 4,405,630,734,963,032,576/972,952,338 - Step 6: Final answer
x = 4,528,105,399.30
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.