Finding the Third Proportional to 432,373,679,176 and 929,818,110,184
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Solution
The third proportional to 432,373,679,176 and 929,818,110,184 is: 1,999,570,648,411.79
Step by Step Solution
- Step 1: Write the proportion equation
432,373,679,176 : 929,818,110,184 = 929,818,110,184 : x - Step 2: Convert to fraction form
432,373,679,176/929,818,110,184 = 929,818,110,184/x - Step 3: Cross multiply
432,373,679,176x = 929,818,110,184 × 929,818,110,184 - Step 4: Simplify right side
432,373,679,176x = 864,561,718,026,145,162,592,256 - Step 5: Solve for x
x = 864,561,718,026,145,162,592,256/432,373,679,176 - Step 6: Final answer
x = 1,999,570,648,411.79
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.