Finding the Third Proportional to 7,576,745,772,580 and 15,555,156,911,260
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Solution
The third proportional to 7,576,745,772,580 and 15,555,156,911,260 is: 31,934,938,005,914.86
Step by Step Solution
- Step 1: Write the proportion equation
7,576,745,772,580 : 15,555,156,911,260 = 15,555,156,911,260 : x - Step 2: Convert to fraction form
7,576,745,772,580/15,555,156,911,260 = 15,555,156,911,260/x - Step 3: Cross multiply
7,576,745,772,580x = 15,555,156,911,260 × 15,555,156,911,260 - Step 4: Simplify right side
7,576,745,772,580x = 241,962,906,533,919,747,391,619,072 - Step 5: Solve for x
x = 241,962,906,533,919,747,391,619,072/7,576,745,772,580 - Step 6: Final answer
x = 31,934,938,005,914.86
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.