Finding the Third Proportional to 782,122,992 and 1,698,767,076
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Solution
The third proportional to 782,122,992 and 1,698,767,076 is: 3,689,713,265.07
Step by Step Solution
- Step 1: Write the proportion equation
782,122,992 : 1,698,767,076 = 1,698,767,076 : x - Step 2: Convert to fraction form
782,122,992/1,698,767,076 = 1,698,767,076/x - Step 3: Cross multiply
782,122,992x = 1,698,767,076 × 1,698,767,076 - Step 4: Simplify right side
782,122,992x = 2,885,809,578,501,590,016 - Step 5: Solve for x
x = 2,885,809,578,501,590,016/782,122,992 - Step 6: Final answer
x = 3,689,713,265.07
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.