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Finding the Third Proportional to 431,073,010 and 943,755,384

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Solution

The third proportional to 431,073,010 and 943,755,384 is: 2,066,179,519.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,073,010 : 943,755,384 = 943,755,384 : x
  2. Step 2: Convert to fraction form
    431,073,010/943,755,384 = 943,755,384/x
  3. Step 3: Cross multiply
    431,073,010x = 943,755,384 × 943,755,384
  4. Step 4: Simplify right side
    431,073,010x = 890,674,224,828,987,392
  5. Step 5: Solve for x
    x = 890,674,224,828,987,392/431,073,010
  6. Step 6: Final answer
    x = 2,066,179,519.87

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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.