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Finding the Third Proportional to 436,944,576 and 935,868,448

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Solution

The third proportional to 436,944,576 and 935,868,448 is: 2,004,487,067.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,944,576 : 935,868,448 = 935,868,448 : x
  2. Step 2: Convert to fraction form
    436,944,576/935,868,448 = 935,868,448/x
  3. Step 3: Cross multiply
    436,944,576x = 935,868,448 × 935,868,448
  4. Step 4: Simplify right side
    436,944,576x = 875,849,751,961,928,704
  5. Step 5: Solve for x
    x = 875,849,751,961,928,704/436,944,576
  6. Step 6: Final answer
    x = 2,004,487,067.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.