Finding the Third Proportional to 16,860,526,799,025 and 22,748,809,512,118
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Solution
The third proportional to 16,860,526,799,025 and 22,748,809,512,118 is: 30,693,485,463,844.26
Step by Step Solution
- Step 1: Write the proportion equation
16,860,526,799,025 : 22,748,809,512,118 = 22,748,809,512,118 : x - Step 2: Convert to fraction form
16,860,526,799,025/22,748,809,512,118 = 22,748,809,512,118/x - Step 3: Cross multiply
16,860,526,799,025x = 22,748,809,512,118 × 22,748,809,512,118 - Step 4: Simplify right side
16,860,526,799,025x = 517,508,334,218,630,395,435,417,600 - Step 5: Solve for x
x = 517,508,334,218,630,395,435,417,600/16,860,526,799,025 - Step 6: Final answer
x = 30,693,485,463,844.26
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Why These Related Problems?
These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.