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Finding the Third Proportional to 224,747,500,526 and 530,363,874,376

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Solution

The third proportional to 224,747,500,526 and 530,363,874,376 is: 1,251,563,815,325.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,747,500,526 : 530,363,874,376 = 530,363,874,376 : x
  2. Step 2: Convert to fraction form
    224,747,500,526/530,363,874,376 = 530,363,874,376/x
  3. Step 3: Cross multiply
    224,747,500,526x = 530,363,874,376 × 530,363,874,376
  4. Step 4: Simplify right side
    224,747,500,526x = 281,285,839,243,121,514,250,240
  5. Step 5: Solve for x
    x = 281,285,839,243,121,514,250,240/224,747,500,526
  6. Step 6: Final answer
    x = 1,251,563,815,325.19

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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.