Finding the Third Proportional to 539,830,921,828 and 1,124,343,331,524
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Solution
The third proportional to 539,830,921,828 and 1,124,343,331,524 is: 2,341,747,899,252.92
Step by Step Solution
- Step 1: Write the proportion equation
539,830,921,828 : 1,124,343,331,524 = 1,124,343,331,524 : x - Step 2: Convert to fraction form
539,830,921,828/1,124,343,331,524 = 1,124,343,331,524/x - Step 3: Cross multiply
539,830,921,828x = 1,124,343,331,524 × 1,124,343,331,524 - Step 4: Simplify right side
539,830,921,828x = 1,264,147,927,142,487,432,364,032 - Step 5: Solve for x
x = 1,264,147,927,142,487,432,364,032/539,830,921,828 - Step 6: Final answer
x = 2,341,747,899,252.92
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.