Finding the Third Proportional to 683,223,576,488 and 1,422,997,153,144
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Solution
The third proportional to 683,223,576,488 and 1,422,997,153,144 is: 2,963,774,915,767.26
Step by Step Solution
- Step 1: Write the proportion equation
683,223,576,488 : 1,422,997,153,144 = 1,422,997,153,144 : x - Step 2: Convert to fraction form
683,223,576,488/1,422,997,153,144 = 1,422,997,153,144/x - Step 3: Cross multiply
683,223,576,488x = 1,422,997,153,144 × 1,422,997,153,144 - Step 4: Simplify right side
683,223,576,488x = 2,024,920,897,855,928,531,943,424 - Step 5: Solve for x
x = 2,024,920,897,855,928,531,943,424/683,223,576,488 - Step 6: Final answer
x = 2,963,774,915,767.26
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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.