Finding the Third Proportional to 509,787,582.75 and 787,201,239.75
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Solution
The third proportional to 509,787,582.75 and 787,201,239.75 is: 1,215,576,473.09
Step by Step Solution
- Step 1: Write the proportion equation
509,787,582.75 : 787,201,239.75 = 787,201,239.75 : x - Step 2: Convert to fraction form
509,787,582.75/787,201,239.75 = 787,201,239.75/x - Step 3: Cross multiply
509,787,582.75x = 787,201,239.75 × 787,201,239.75 - Step 4: Simplify right side
509,787,582.75x = 619,685,791,863,937,024 - Step 5: Solve for x
x = 619,685,791,863,937,024/509,787,582.75 - Step 6: Final answer
x = 1,215,576,473.09
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.