Finding the Third Proportional to 1,214,619,565,860 and 2,529,772,478,136
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Solution
The third proportional to 1,214,619,565,860 and 2,529,772,478,136 is: 5,268,932,735,002.57
Step by Step Solution
- Step 1: Write the proportion equation
1,214,619,565,860 : 2,529,772,478,136 = 2,529,772,478,136 : x - Step 2: Convert to fraction form
1,214,619,565,860/2,529,772,478,136 = 2,529,772,478,136/x - Step 3: Cross multiply
1,214,619,565,860x = 2,529,772,478,136 × 2,529,772,478,136 - Step 4: Simplify right side
1,214,619,565,860x = 6,399,748,791,134,358,473,801,728 - Step 5: Solve for x
x = 6,399,748,791,134,358,473,801,728/1,214,619,565,860 - Step 6: Final answer
x = 5,268,932,735,002.57
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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.