Finding the Third Proportional to 1,197,805,660,358 and 2,663,423,572,474
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Solution
The third proportional to 1,197,805,660,358 and 2,663,423,572,474 is: 5,922,350,646,005.43
Step by Step Solution
- Step 1: Write the proportion equation
1,197,805,660,358 : 2,663,423,572,474 = 2,663,423,572,474 : x - Step 2: Convert to fraction form
1,197,805,660,358/2,663,423,572,474 = 2,663,423,572,474/x - Step 3: Cross multiply
1,197,805,660,358x = 2,663,423,572,474 × 2,663,423,572,474 - Step 4: Simplify right side
1,197,805,660,358x = 7,093,825,126,410,164,778,303,488 - Step 5: Solve for x
x = 7,093,825,126,410,164,778,303,488/1,197,805,660,358 - Step 6: Final answer
x = 5,922,350,646,005.43
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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.