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Finding the Third Proportional to 219,531,494 and 477,325,282

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Solution

The third proportional to 219,531,494 and 477,325,282 is: 1,037,843,913.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,531,494 : 477,325,282 = 477,325,282 : x
  2. Step 2: Convert to fraction form
    219,531,494/477,325,282 = 477,325,282/x
  3. Step 3: Cross multiply
    219,531,494x = 477,325,282 × 477,325,282
  4. Step 4: Simplify right side
    219,531,494x = 227,839,424,836,379,520
  5. Step 5: Solve for x
    x = 227,839,424,836,379,520/219,531,494
  6. Step 6: Final answer
    x = 1,037,843,913.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.