Finding the Third Proportional to 45,898,827 and 99,872,814
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Solution
The third proportional to 45,898,827 and 99,872,814 is: 217,316,642.46
Step by Step Solution
- Step 1: Write the proportion equation
45,898,827 : 99,872,814 = 99,872,814 : x - Step 2: Convert to fraction form
45,898,827/99,872,814 = 99,872,814/x - Step 3: Cross multiply
45,898,827x = 99,872,814 × 99,872,814 - Step 4: Simplify right side
45,898,827x = 9,974,578,976,278,596 - Step 5: Solve for x
x = 9,974,578,976,278,596/45,898,827 - Step 6: Final answer
x = 217,316,642.46
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.