Finding the Third Proportional to 33,098,924,132,956 and 77,334,024,552,618
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Solution
The third proportional to 33,098,924,132,956 and 77,334,024,552,618 is: 180,687,182,745,924.88
Step by Step Solution
- Step 1: Write the proportion equation
33,098,924,132,956 : 77,334,024,552,618 = 77,334,024,552,618 : x - Step 2: Convert to fraction form
33,098,924,132,956/77,334,024,552,618 = 77,334,024,552,618/x - Step 3: Cross multiply
33,098,924,132,956x = 77,334,024,552,618 × 77,334,024,552,618 - Step 4: Simplify right side
33,098,924,132,956x = 5,980,551,353,504,923,807,769,427,968 - Step 5: Solve for x
x = 5,980,551,353,504,923,807,769,427,968/33,098,924,132,956 - Step 6: Final answer
x = 180,687,182,745,924.88
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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.