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Finding the Third Proportional to 411,755,764.50 and 905,127,453

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Solution

The third proportional to 411,755,764.50 and 905,127,453 is: 1,989,664,205.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,755,764.50 : 905,127,453 = 905,127,453 : x
  2. Step 2: Convert to fraction form
    411,755,764.50/905,127,453 = 905,127,453/x
  3. Step 3: Cross multiply
    411,755,764.50x = 905,127,453 × 905,127,453
  4. Step 4: Simplify right side
    411,755,764.50x = 819,255,706,174,267,264
  5. Step 5: Solve for x
    x = 819,255,706,174,267,264/411,755,764.50
  6. Step 6: Final answer
    x = 1,989,664,205.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.