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Finding the Third Proportional to 420,930,320,792 and 864,175,384,126

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Solution

The third proportional to 420,930,320,792 and 864,175,384,126 is: 1,774,163,222,844.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,930,320,792 : 864,175,384,126 = 864,175,384,126 : x
  2. Step 2: Convert to fraction form
    420,930,320,792/864,175,384,126 = 864,175,384,126/x
  3. Step 3: Cross multiply
    420,930,320,792x = 864,175,384,126 × 864,175,384,126
  4. Step 4: Simplify right side
    420,930,320,792x = 746,799,094,529,319,684,276,224
  5. Step 5: Solve for x
    x = 746,799,094,529,319,684,276,224/420,930,320,792
  6. Step 6: Final answer
    x = 1,774,163,222,844.54

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.