Finding the Third Proportional to 849,472,309,874 and 1,820,110,244,980
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Solution
The third proportional to 849,472,309,874 and 1,820,110,244,980 is: 3,899,834,362,314.33
Step by Step Solution
- Step 1: Write the proportion equation
849,472,309,874 : 1,820,110,244,980 = 1,820,110,244,980 : x - Step 2: Convert to fraction form
849,472,309,874/1,820,110,244,980 = 1,820,110,244,980/x - Step 3: Cross multiply
849,472,309,874x = 1,820,110,244,980 × 1,820,110,244,980 - Step 4: Simplify right side
849,472,309,874x = 3,312,801,303,881,155,543,564,288 - Step 5: Solve for x
x = 3,312,801,303,881,155,543,564,288/849,472,309,874 - Step 6: Final answer
x = 3,899,834,362,314.33
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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.