Finding the Third Proportional to 157,328,723,760 and 346,038,507,120
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Solution
The third proportional to 157,328,723,760 and 346,038,507,120 is: 761,098,453,912.98
Step by Step Solution
- Step 1: Write the proportion equation
157,328,723,760 : 346,038,507,120 = 346,038,507,120 : x - Step 2: Convert to fraction form
157,328,723,760/346,038,507,120 = 346,038,507,120/x - Step 3: Cross multiply
157,328,723,760x = 346,038,507,120 × 346,038,507,120 - Step 4: Simplify right side
157,328,723,760x = 119,742,648,409,838,283,915,264 - Step 5: Solve for x
x = 119,742,648,409,838,283,915,264/157,328,723,760 - Step 6: Final answer
x = 761,098,453,912.98
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.