Finding the Third Proportional to 432,373,678,474 and 929,818,108,846
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Solution
The third proportional to 432,373,678,474 and 929,818,108,846 is: 1,999,570,645,903.55
Step by Step Solution
- Step 1: Write the proportion equation
432,373,678,474 : 929,818,108,846 = 929,818,108,846 : x - Step 2: Convert to fraction form
432,373,678,474/929,818,108,846 = 929,818,108,846/x - Step 3: Cross multiply
432,373,678,474x = 929,818,108,846 × 929,818,108,846 - Step 4: Simplify right side
432,373,678,474x = 864,561,715,537,951,959,547,904 - Step 5: Solve for x
x = 864,561,715,537,951,959,547,904/432,373,678,474 - Step 6: Final answer
x = 1,999,570,645,903.55
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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.