Finding the Third Proportional to 157,527,838,280 and 338,947,682,035
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Solution
The third proportional to 157,527,838,280 and 338,947,682,035 is: 729,303,038,823.49
Step by Step Solution
- Step 1: Write the proportion equation
157,527,838,280 : 338,947,682,035 = 338,947,682,035 : x - Step 2: Convert to fraction form
157,527,838,280/338,947,682,035 = 338,947,682,035/x - Step 3: Cross multiply
157,527,838,280x = 338,947,682,035 × 338,947,682,035 - Step 4: Simplify right side
157,527,838,280x = 114,885,531,156,899,455,565,824 - Step 5: Solve for x
x = 114,885,531,156,899,455,565,824/157,527,838,280 - Step 6: Final answer
x = 729,303,038,823.49
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.