Finding the Third Proportional to 971,646,795 and 2,098,117,149.75
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Solution
The third proportional to 971,646,795 and 2,098,117,149.75 is: 4,530,551,221.62
Step by Step Solution
- Step 1: Write the proportion equation
971,646,795 : 2,098,117,149.75 = 2,098,117,149.75 : x - Step 2: Convert to fraction form
971,646,795/2,098,117,149.75 = 2,098,117,149.75/x - Step 3: Cross multiply
971,646,795x = 2,098,117,149.75 × 2,098,117,149.75 - Step 4: Simplify right side
971,646,795x = 4,402,095,574,075,063,808 - Step 5: Solve for x
x = 4,402,095,574,075,063,808/971,646,795 - Step 6: Final answer
x = 4,530,551,221.62
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.