Finding the Third Proportional to 574,041,258,426 and 1,229,961,663,193
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Solution
The third proportional to 574,041,258,426 and 1,229,961,663,193 is: 2,635,360,561,142.50
Step by Step Solution
- Step 1: Write the proportion equation
574,041,258,426 : 1,229,961,663,193 = 1,229,961,663,193 : x - Step 2: Convert to fraction form
574,041,258,426/1,229,961,663,193 = 1,229,961,663,193/x - Step 3: Cross multiply
574,041,258,426x = 1,229,961,663,193 × 1,229,961,663,193 - Step 4: Simplify right side
574,041,258,426x = 1,512,805,692,924,490,787,323,904 - Step 5: Solve for x
x = 1,512,805,692,924,490,787,323,904/574,041,258,426 - Step 6: Final answer
x = 2,635,360,561,142.50
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.