Finding the Third Proportional to 22,175,233,727,854 and 32,598,577,302,603
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Solution
The third proportional to 22,175,233,727,854 and 32,598,577,302,603 is: 47,921,354,750,772.34
Step by Step Solution
- Step 1: Write the proportion equation
22,175,233,727,854 : 32,598,577,302,603 = 32,598,577,302,603 : x - Step 2: Convert to fraction form
22,175,233,727,854/32,598,577,302,603 = 32,598,577,302,603/x - Step 3: Cross multiply
22,175,233,727,854x = 32,598,577,302,603 × 32,598,577,302,603 - Step 4: Simplify right side
22,175,233,727,854x = 1,062,667,242,153,783,429,280,301,056 - Step 5: Solve for x
x = 1,062,667,242,153,783,429,280,301,056/22,175,233,727,854 - Step 6: Final answer
x = 47,921,354,750,772.34
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Why These Related Problems?
These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.