Finding the Third Proportional to 683,223,635,616 and 1,422,997,288,058
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Solution
The third proportional to 683,223,635,616 and 1,422,997,288,058 is: 2,963,775,221,263.73
Step by Step Solution
- Step 1: Write the proportion equation
683,223,635,616 : 1,422,997,288,058 = 1,422,997,288,058 : x - Step 2: Convert to fraction form
683,223,635,616/1,422,997,288,058 = 1,422,997,288,058/x - Step 3: Cross multiply
683,223,635,616x = 1,422,997,288,058 × 1,422,997,288,058 - Step 4: Simplify right side
683,223,635,616x = 2,024,921,281,820,422,679,035,904 - Step 5: Solve for x
x = 2,024,921,281,820,422,679,035,904/683,223,635,616 - Step 6: Final answer
x = 2,963,775,221,263.73
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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.