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Finding the Third Proportional to 416,562,693,135.50 and 637,294,279,861.50

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Solution

The third proportional to 416,562,693,135.50 and 637,294,279,861.50 is: 974,988,893,237.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,562,693,135.50 : 637,294,279,861.50 = 637,294,279,861.50 : x
  2. Step 2: Convert to fraction form
    416,562,693,135.50/637,294,279,861.50 = 637,294,279,861.50/x
  3. Step 3: Cross multiply
    416,562,693,135.50x = 637,294,279,861.50 × 637,294,279,861.50
  4. Step 4: Simplify right side
    416,562,693,135.50x = 406,143,999,144,187,870,052,352
  5. Step 5: Solve for x
    x = 406,143,999,144,187,870,052,352/416,562,693,135.50
  6. Step 6: Final answer
    x = 974,988,893,237.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.