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Finding the Third Proportional to 219,136,333,504 and 471,251,931,661

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Solution

The third proportional to 219,136,333,504 and 471,251,931,661 is: 1,013,425,658,553.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,136,333,504 : 471,251,931,661 = 471,251,931,661 : x
  2. Step 2: Convert to fraction form
    219,136,333,504/471,251,931,661 = 471,251,931,661/x
  3. Step 3: Cross multiply
    219,136,333,504x = 471,251,931,661 × 471,251,931,661
  4. Step 4: Simplify right side
    219,136,333,504x = 222,078,383,094,223,828,156,416
  5. Step 5: Solve for x
    x = 222,078,383,094,223,828,156,416/219,136,333,504
  6. Step 6: Final answer
    x = 1,013,425,658,553.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.