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Finding the Third Proportional to 411,755,750 and 905,127,426

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Solution

The third proportional to 411,755,750 and 905,127,426 is: 1,989,664,157.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,755,750 : 905,127,426 = 905,127,426 : x
  2. Step 2: Convert to fraction form
    411,755,750/905,127,426 = 905,127,426/x
  3. Step 3: Cross multiply
    411,755,750x = 905,127,426 × 905,127,426
  4. Step 4: Simplify right side
    411,755,750x = 819,255,657,297,385,472
  5. Step 5: Solve for x
    x = 819,255,657,297,385,472/411,755,750
  6. Step 6: Final answer
    x = 1,989,664,157.20

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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.