Finding the Third Proportional to 452,413,249,152 and 674,696,598,870
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Solution
The third proportional to 452,413,249,152 and 674,696,598,870 is: 1,006,194,008,199.36
Step by Step Solution
- Step 1: Write the proportion equation
452,413,249,152 : 674,696,598,870 = 674,696,598,870 : x - Step 2: Convert to fraction form
452,413,249,152/674,696,598,870 = 674,696,598,870/x - Step 3: Cross multiply
452,413,249,152x = 674,696,598,870 × 674,696,598,870 - Step 4: Simplify right side
452,413,249,152x = 455,215,500,526,745,676,677,120 - Step 5: Solve for x
x = 455,215,500,526,745,676,677,120/452,413,249,152 - Step 6: Final answer
x = 1,006,194,008,199.36
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.