Finding the Third Proportional to 162,254,320,594 and 346,838,140,580
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Solution
The third proportional to 162,254,320,594 and 346,838,140,580 is: 741,408,273,878.90
Step by Step Solution
- Step 1: Write the proportion equation
162,254,320,594 : 346,838,140,580 = 346,838,140,580 : x - Step 2: Convert to fraction form
162,254,320,594/346,838,140,580 = 346,838,140,580/x - Step 3: Cross multiply
162,254,320,594x = 346,838,140,580 × 346,838,140,580 - Step 4: Simplify right side
162,254,320,594x = 120,296,695,760,991,842,992,128 - Step 5: Solve for x
x = 120,296,695,760,991,842,992,128/162,254,320,594 - Step 6: Final answer
x = 741,408,273,878.90
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.