Finding the Third Proportional to 266,414,830,452 and 575,291,564,406
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Solution
The third proportional to 266,414,830,452 and 575,291,564,406 is: 1,242,274,626,811.11
Step by Step Solution
- Step 1: Write the proportion equation
266,414,830,452 : 575,291,564,406 = 575,291,564,406 : x - Step 2: Convert to fraction form
266,414,830,452/575,291,564,406 = 575,291,564,406/x - Step 3: Cross multiply
266,414,830,452x = 575,291,564,406 × 575,291,564,406 - Step 4: Simplify right side
266,414,830,452x = 330,960,384,076,702,831,083,520 - Step 5: Solve for x
x = 330,960,384,076,702,831,083,520/266,414,830,452 - Step 6: Final answer
x = 1,242,274,626,811.11
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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.