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Finding the Third Proportional to 436,382,814 and 969,620,712

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Solution

The third proportional to 436,382,814 and 969,620,712 is: 2,154,448,559.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,382,814 : 969,620,712 = 969,620,712 : x
  2. Step 2: Convert to fraction form
    436,382,814/969,620,712 = 969,620,712/x
  3. Step 3: Cross multiply
    436,382,814x = 969,620,712 × 969,620,712
  4. Step 4: Simplify right side
    436,382,814x = 940,164,325,139,386,880
  5. Step 5: Solve for x
    x = 940,164,325,139,386,880/436,382,814
  6. Step 6: Final answer
    x = 2,154,448,559.79

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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.