Finding the Third Proportional to 19,416,160,370,878 and 42,250,347,113,908
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Solution
The third proportional to 19,416,160,370,878 and 42,250,347,113,908 is: 91,938,457,302,976.64
Step by Step Solution
- Step 1: Write the proportion equation
19,416,160,370,878 : 42,250,347,113,908 = 42,250,347,113,908 : x - Step 2: Convert to fraction form
19,416,160,370,878/42,250,347,113,908 = 42,250,347,113,908/x - Step 3: Cross multiply
19,416,160,370,878x = 42,250,347,113,908 × 42,250,347,113,908 - Step 4: Simplify right side
19,416,160,370,878x = 1,785,091,831,245,714,004,834,779,136 - Step 5: Solve for x
x = 1,785,091,831,245,714,004,834,779,136/19,416,160,370,878 - Step 6: Final answer
x = 91,938,457,302,976.64
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.