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Finding the Third Proportional to 436,382,812 and 969,620,708

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Solution

The third proportional to 436,382,812 and 969,620,708 is: 2,154,448,551.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,382,812 : 969,620,708 = 969,620,708 : x
  2. Step 2: Convert to fraction form
    436,382,812/969,620,708 = 969,620,708/x
  3. Step 3: Cross multiply
    436,382,812x = 969,620,708 × 969,620,708
  4. Step 4: Simplify right side
    436,382,812x = 940,164,317,382,421,248
  5. Step 5: Solve for x
    x = 940,164,317,382,421,248/436,382,812
  6. Step 6: Final answer
    x = 2,154,448,551.89

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.