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Finding the Third Proportional to 431,073,008 and 943,755,380

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Solution

The third proportional to 431,073,008 and 943,755,380 is: 2,066,179,511.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,073,008 : 943,755,380 = 943,755,380 : x
  2. Step 2: Convert to fraction form
    431,073,008/943,755,380 = 943,755,380/x
  3. Step 3: Cross multiply
    431,073,008x = 943,755,380 × 943,755,380
  4. Step 4: Simplify right side
    431,073,008x = 890,674,217,278,944,384
  5. Step 5: Solve for x
    x = 890,674,217,278,944,384/431,073,008
  6. Step 6: Final answer
    x = 2,066,179,511.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.