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Finding the Third Proportional to 1,198,037,494,299 and 2,429,411,781,288

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Solution

The third proportional to 1,198,037,494,299 and 2,429,411,781,288 is: 4,926,424,783,152.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198,037,494,299 : 2,429,411,781,288 = 2,429,411,781,288 : x
  2. Step 2: Convert to fraction form
    1,198,037,494,299/2,429,411,781,288 = 2,429,411,781,288/x
  3. Step 3: Cross multiply
    1,198,037,494,299x = 2,429,411,781,288 × 2,429,411,781,288
  4. Step 4: Simplify right side
    1,198,037,494,299x = 5,902,041,603,060,932,779,442,176
  5. Step 5: Solve for x
    x = 5,902,041,603,060,932,779,442,176/1,198,037,494,299
  6. Step 6: Final answer
    x = 4,926,424,783,152.85

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.