Finding the Third Proportional to 8,274,731,033,239 and 19,333,506,138,154
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Solution
The third proportional to 8,274,731,033,239 and 19,333,506,138,154 is: 45,171,795,686,478.88
Step by Step Solution
- Step 1: Write the proportion equation
8,274,731,033,239 : 19,333,506,138,154 = 19,333,506,138,154 : x - Step 2: Convert to fraction form
8,274,731,033,239/19,333,506,138,154 = 19,333,506,138,154/x - Step 3: Cross multiply
8,274,731,033,239x = 19,333,506,138,154 × 19,333,506,138,154 - Step 4: Simplify right side
8,274,731,033,239x = 373,784,459,594,038,427,812,626,432 - Step 5: Solve for x
x = 373,784,459,594,038,427,812,626,432/8,274,731,033,239 - Step 6: Final answer
x = 45,171,795,686,478.88
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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.