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Finding the Third Proportional to 1,846,948,936 and 4,063,281,200

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Solution

The third proportional to 1,846,948,936 and 4,063,281,200 is: 8,939,204,429.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846,948,936 : 4,063,281,200 = 4,063,281,200 : x
  2. Step 2: Convert to fraction form
    1,846,948,936/4,063,281,200 = 4,063,281,200/x
  3. Step 3: Cross multiply
    1,846,948,936x = 4,063,281,200 × 4,063,281,200
  4. Step 4: Simplify right side
    1,846,948,936x = 16,510,254,110,273,439,744
  5. Step 5: Solve for x
    x = 16,510,254,110,273,439,744/1,846,948,936
  6. Step 6: Final answer
    x = 8,939,204,429.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.