Finding the Third Proportional to 10,748,740,420,194 and 23,688,416,513,136
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Solution
The third proportional to 10,748,740,420,194 and 23,688,416,513,136 is: 52,205,286,848,827.49
Step by Step Solution
- Step 1: Write the proportion equation
10,748,740,420,194 : 23,688,416,513,136 = 23,688,416,513,136 : x - Step 2: Convert to fraction form
10,748,740,420,194/23,688,416,513,136 = 23,688,416,513,136/x - Step 3: Cross multiply
10,748,740,420,194x = 23,688,416,513,136 × 23,688,416,513,136 - Step 4: Simplify right side
10,748,740,420,194x = 561,141,076,899,814,343,954,137,088 - Step 5: Solve for x
x = 561,141,076,899,814,343,954,137,088/10,748,740,420,194 - Step 6: Final answer
x = 52,205,286,848,827.49
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.