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Finding the Third Proportional to 436,944,458.53 and 935,868,223.69

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Solution

The third proportional to 436,944,458.53 and 935,868,223.69 is: 2,004,486,645.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,944,458.53 : 935,868,223.69 = 935,868,223.69 : x
  2. Step 2: Convert to fraction form
    436,944,458.53/935,868,223.69 = 935,868,223.69/x
  3. Step 3: Cross multiply
    436,944,458.53x = 935,868,223.69 × 935,868,223.69
  4. Step 4: Simplify right side
    436,944,458.53x = 875,849,332,107,996,544
  5. Step 5: Solve for x
    x = 875,849,332,107,996,544/436,944,458.53
  6. Step 6: Final answer
    x = 2,004,486,645.86

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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.