Finding the Third Proportional to 177,573,578,964 and 256,563,156,648
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Solution
The third proportional to 177,573,578,964 and 256,563,156,648 is: 370,689,455,791.91
Step by Step Solution
- Step 1: Write the proportion equation
177,573,578,964 : 256,563,156,648 = 256,563,156,648 : x - Step 2: Convert to fraction form
177,573,578,964/256,563,156,648 = 256,563,156,648/x - Step 3: Cross multiply
177,573,578,964x = 256,563,156,648 × 256,563,156,648 - Step 4: Simplify right side
177,573,578,964x = 65,824,653,349,186,187,558,912 - Step 5: Solve for x
x = 65,824,653,349,186,187,558,912/177,573,578,964 - Step 6: Final answer
x = 370,689,455,791.91
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Why These Related Problems?
These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.