Finding the Third Proportional to 683,223,635,617 and 1,422,997,288,060
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Solution
The third proportional to 683,223,635,617 and 1,422,997,288,060 is: 2,963,775,221,267.73
Step by Step Solution
- Step 1: Write the proportion equation
683,223,635,617 : 1,422,997,288,060 = 1,422,997,288,060 : x - Step 2: Convert to fraction form
683,223,635,617/1,422,997,288,060 = 1,422,997,288,060/x - Step 3: Cross multiply
683,223,635,617x = 1,422,997,288,060 × 1,422,997,288,060 - Step 4: Simplify right side
683,223,635,617x = 2,024,921,281,826,114,584,444,928 - Step 5: Solve for x
x = 2,024,921,281,826,114,584,444,928/683,223,635,617 - Step 6: Final answer
x = 2,963,775,221,267.73
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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.