Finding the Third Proportional to 8,430,263,399,514 and 11,374,404,756,062
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Solution
The third proportional to 8,430,263,399,514 and 11,374,404,756,062 is: 15,346,742,731,927.49
Step by Step Solution
- Step 1: Write the proportion equation
8,430,263,399,514 : 11,374,404,756,062 = 11,374,404,756,062 : x - Step 2: Convert to fraction form
8,430,263,399,514/11,374,404,756,062 = 11,374,404,756,062/x - Step 3: Cross multiply
8,430,263,399,514x = 11,374,404,756,062 × 11,374,404,756,062 - Step 4: Simplify right side
8,430,263,399,514x = 129,377,083,554,725,837,299,253,248 - Step 5: Solve for x
x = 129,377,083,554,725,837,299,253,248/8,430,263,399,514 - Step 6: Final answer
x = 15,346,742,731,927.49
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Why These Related Problems?
These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.