Finding the Third Proportional to 84,220,711,065 and 187,271,971,056
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Solution
The third proportional to 84,220,711,065 and 187,271,971,056 is: 416,415,281,938.58
Step by Step Solution
- Step 1: Write the proportion equation
84,220,711,065 : 187,271,971,056 = 187,271,971,056 : x - Step 2: Convert to fraction form
84,220,711,065/187,271,971,056 = 187,271,971,056/x - Step 3: Cross multiply
84,220,711,065x = 187,271,971,056 × 187,271,971,056 - Step 4: Simplify right side
84,220,711,065x = 35,070,791,143,199,300,648,960 - Step 5: Solve for x
x = 35,070,791,143,199,300,648,960/84,220,711,065 - Step 6: Final answer
x = 416,415,281,938.58
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Why These Related Problems?
These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.