Finding the Third Proportional to 561,240,427,597 and 1,152,233,845,275
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Solution
The third proportional to 561,240,427,597 and 1,152,233,845,275 is: 2,365,550,963,393.05
Step by Step Solution
- Step 1: Write the proportion equation
561,240,427,597 : 1,152,233,845,275 = 1,152,233,845,275 : x - Step 2: Convert to fraction form
561,240,427,597/1,152,233,845,275 = 1,152,233,845,275/x - Step 3: Cross multiply
561,240,427,597x = 1,152,233,845,275 × 1,152,233,845,275 - Step 4: Simplify right side
561,240,427,597x = 1,327,642,834,197,212,704,014,336 - Step 5: Solve for x
x = 1,327,642,834,197,212,704,014,336/561,240,427,597 - Step 6: Final answer
x = 2,365,550,963,393.05
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.