Finding the Third Proportional to 24,596,048,747,602 and 51,227,897,502,548
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Solution
The third proportional to 24,596,048,747,602 and 51,227,897,502,548 is: 106,695,896,949,196.80
Step by Step Solution
- Step 1: Write the proportion equation
24,596,048,747,602 : 51,227,897,502,548 = 51,227,897,502,548 : x - Step 2: Convert to fraction form
24,596,048,747,602/51,227,897,502,548 = 51,227,897,502,548/x - Step 3: Cross multiply
24,596,048,747,602x = 51,227,897,502,548 × 51,227,897,502,548 - Step 4: Simplify right side
24,596,048,747,602x = 2,624,297,482,531,563,832,675,926,016 - Step 5: Solve for x
x = 2,624,297,482,531,563,832,675,926,016/24,596,048,747,602 - Step 6: Final answer
x = 106,695,896,949,196.80
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.