Finding the Third Proportional to 33,098,924,132,952 and 77,334,024,552,608
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Solution
The third proportional to 33,098,924,132,952 and 77,334,024,552,608 is: 180,687,182,745,899.97
Step by Step Solution
- Step 1: Write the proportion equation
33,098,924,132,952 : 77,334,024,552,608 = 77,334,024,552,608 : x - Step 2: Convert to fraction form
33,098,924,132,952/77,334,024,552,608 = 77,334,024,552,608/x - Step 3: Cross multiply
33,098,924,132,952x = 77,334,024,552,608 × 77,334,024,552,608 - Step 4: Simplify right side
33,098,924,132,952x = 5,980,551,353,503,376,794,909,147,136 - Step 5: Solve for x
x = 5,980,551,353,503,376,794,909,147,136/33,098,924,132,952 - Step 6: Final answer
x = 180,687,182,745,899.97
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Why These Related Problems?
These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.