Finding the Third Proportional to 538,043,839,152 and 1,185,758,148,442.50
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Solution
The third proportional to 538,043,839,152 and 1,185,758,148,442.50 is: 2,613,211,571,781.57
Step by Step Solution
- Step 1: Write the proportion equation
538,043,839,152 : 1,185,758,148,442.50 = 1,185,758,148,442.50 : x - Step 2: Convert to fraction form
538,043,839,152/1,185,758,148,442.50 = 1,185,758,148,442.50/x - Step 3: Cross multiply
538,043,839,152x = 1,185,758,148,442.50 × 1,185,758,148,442.50 - Step 4: Simplify right side
538,043,839,152x = 1,406,022,386,597,785,751,257,088 - Step 5: Solve for x
x = 1,406,022,386,597,785,751,257,088/538,043,839,152 - Step 6: Final answer
x = 2,613,211,571,781.57
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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.