Finding the Third Proportional to 213,183,673,512.14 and 474,032,174,053.02
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Solution
The third proportional to 213,183,673,512.14 and 474,032,174,053.02 is: 1,054,051,177,256.95
Step by Step Solution
- Step 1: Write the proportion equation
213,183,673,512.14 : 474,032,174,053.02 = 474,032,174,053.02 : x - Step 2: Convert to fraction form
213,183,673,512.14/474,032,174,053.02 = 474,032,174,053.02/x - Step 3: Cross multiply
213,183,673,512.14x = 474,032,174,053.02 × 474,032,174,053.02 - Step 4: Simplify right side
213,183,673,512.14x = 224,706,502,037,432,669,569,024 - Step 5: Solve for x
x = 224,706,502,037,432,669,569,024/213,183,673,512.14 - Step 6: Final answer
x = 1,054,051,177,256.95
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Why These Related Problems?
These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.