Finding the Third Proportional to 24,566,686,974 and 53,047,968,354
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Solution
The third proportional to 24,566,686,974 and 53,047,968,354 is: 114,548,899,062.59
Step by Step Solution
- Step 1: Write the proportion equation
24,566,686,974 : 53,047,968,354 = 53,047,968,354 : x - Step 2: Convert to fraction form
24,566,686,974/53,047,968,354 = 53,047,968,354/x - Step 3: Cross multiply
24,566,686,974x = 53,047,968,354 × 53,047,968,354 - Step 4: Simplify right side
24,566,686,974x = 2,814,086,946,486,985,687,040 - Step 5: Solve for x
x = 2,814,086,946,486,985,687,040/24,566,686,974 - Step 6: Final answer
x = 114,548,899,062.59
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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.