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Finding the Third Proportional to 224,747,500,524 and 530,363,874,371

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Solution

The third proportional to 224,747,500,524 and 530,363,874,371 is: 1,251,563,815,312.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,747,500,524 : 530,363,874,371 = 530,363,874,371 : x
  2. Step 2: Convert to fraction form
    224,747,500,524/530,363,874,371 = 530,363,874,371/x
  3. Step 3: Cross multiply
    224,747,500,524x = 530,363,874,371 × 530,363,874,371
  4. Step 4: Simplify right side
    224,747,500,524x = 281,285,839,237,817,867,173,888
  5. Step 5: Solve for x
    x = 281,285,839,237,817,867,173,888/224,747,500,524
  6. Step 6: Final answer
    x = 1,251,563,815,312.73

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.