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Finding the Third Proportional to 317,216,934.70 and 484,942,934.81

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Solution

The third proportional to 317,216,934.70 and 484,942,934.81 is: 741,352,759.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,216,934.70 : 484,942,934.81 = 484,942,934.81 : x
  2. Step 2: Convert to fraction form
    317,216,934.70/484,942,934.81 = 484,942,934.81/x
  3. Step 3: Cross multiply
    317,216,934.70x = 484,942,934.81 × 484,942,934.81
  4. Step 4: Simplify right side
    317,216,934.70x = 235,169,650,024,560,640
  5. Step 5: Solve for x
    x = 235,169,650,024,560,640/317,216,934.70
  6. Step 6: Final answer
    x = 741,352,759.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.