Finding the Third Proportional to 2,772,698,319 and 6,165,332,403.75
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Solution
The third proportional to 2,772,698,319 and 6,165,332,403.75 is: 13,709,145,127.06
Step by Step Solution
- Step 1: Write the proportion equation
2,772,698,319 : 6,165,332,403.75 = 6,165,332,403.75 : x - Step 2: Convert to fraction form
2,772,698,319/6,165,332,403.75 = 6,165,332,403.75/x - Step 3: Cross multiply
2,772,698,319x = 6,165,332,403.75 × 6,165,332,403.75 - Step 4: Simplify right side
2,772,698,319x = 38,011,323,648,729,751,552 - Step 5: Solve for x
x = 38,011,323,648,729,751,552/2,772,698,319 - Step 6: Final answer
x = 13,709,145,127.06
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Why These Related Problems?
These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.