Finding the Third Proportional to 461,784,240 and 961,779,744
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Solution
The third proportional to 461,784,240 and 961,779,744 is: 2,003,143,883.75
Step by Step Solution
- Step 1: Write the proportion equation
461,784,240 : 961,779,744 = 961,779,744 : x - Step 2: Convert to fraction form
461,784,240/961,779,744 = 961,779,744/x - Step 3: Cross multiply
461,784,240x = 961,779,744 × 961,779,744 - Step 4: Simplify right side
461,784,240x = 925,020,275,968,705,536 - Step 5: Solve for x
x = 925,020,275,968,705,536/461,784,240 - Step 6: Final answer
x = 2,003,143,883.75
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.