Finding the Third Proportional to 474,837,952,464 and 1,024,058,539,296
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Solution
The third proportional to 474,837,952,464 and 1,024,058,539,296 is: 2,208,534,272,509.66
Step by Step Solution
- Step 1: Write the proportion equation
474,837,952,464 : 1,024,058,539,296 = 1,024,058,539,296 : x - Step 2: Convert to fraction form
474,837,952,464/1,024,058,539,296 = 1,024,058,539,296/x - Step 3: Cross multiply
474,837,952,464x = 1,024,058,539,296 × 1,024,058,539,296 - Step 4: Simplify right side
474,837,952,464x = 1,048,695,891,905,057,145,225,216 - Step 5: Solve for x
x = 1,048,695,891,905,057,145,225,216/474,837,952,464 - Step 6: Final answer
x = 2,208,534,272,509.66
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.