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Finding the Third Proportional to 224,747,500,522 and 530,363,874,366

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Solution

The third proportional to 224,747,500,522 and 530,363,874,366 is: 1,251,563,815,300.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,747,500,522 : 530,363,874,366 = 530,363,874,366 : x
  2. Step 2: Convert to fraction form
    224,747,500,522/530,363,874,366 = 530,363,874,366/x
  3. Step 3: Cross multiply
    224,747,500,522x = 530,363,874,366 × 530,363,874,366
  4. Step 4: Simplify right side
    224,747,500,522x = 281,285,839,232,514,220,097,536
  5. Step 5: Solve for x
    x = 281,285,839,232,514,220,097,536/224,747,500,522
  6. Step 6: Final answer
    x = 1,251,563,815,300.27

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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.