Finding the Third Proportional to 874,671,010,497 and 1,363,144,523,899.50
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Solution
The third proportional to 874,671,010,497 and 1,363,144,523,899.50 is: 2,124,413,603,214.49
Step by Step Solution
- Step 1: Write the proportion equation
874,671,010,497 : 1,363,144,523,899.50 = 1,363,144,523,899.50 : x - Step 2: Convert to fraction form
874,671,010,497/1,363,144,523,899.50 = 1,363,144,523,899.50/x - Step 3: Cross multiply
874,671,010,497x = 1,363,144,523,899.50 × 1,363,144,523,899.50 - Step 4: Simplify right side
874,671,010,497x = 1,858,162,993,037,194,542,710,784 - Step 5: Solve for x
x = 1,858,162,993,037,194,542,710,784/874,671,010,497 - Step 6: Final answer
x = 2,124,413,603,214.49
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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.