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Finding the Third Proportional to 1,899,115,494 and 2,868,518,199

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Solution

The third proportional to 1,899,115,494 and 2,868,518,199 is: 4,332,752,106.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,899,115,494 : 2,868,518,199 = 2,868,518,199 : x
  2. Step 2: Convert to fraction form
    1,899,115,494/2,868,518,199 = 2,868,518,199/x
  3. Step 3: Cross multiply
    1,899,115,494x = 2,868,518,199 × 2,868,518,199
  4. Step 4: Simplify right side
    1,899,115,494x = 8,228,396,657,994,203,136
  5. Step 5: Solve for x
    x = 8,228,396,657,994,203,136/1,899,115,494
  6. Step 6: Final answer
    x = 4,332,752,106.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.