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Finding the Third Proportional to 420,074,234,872 and 903,860,484,384

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Solution

The third proportional to 420,074,234,872 and 903,860,484,384 is: 1,944,808,101,548.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,074,234,872 : 903,860,484,384 = 903,860,484,384 : x
  2. Step 2: Convert to fraction form
    420,074,234,872/903,860,484,384 = 903,860,484,384/x
  3. Step 3: Cross multiply
    420,074,234,872x = 903,860,484,384 × 903,860,484,384
  4. Step 4: Simplify right side
    420,074,234,872x = 816,963,775,230,879,052,333,056
  5. Step 5: Solve for x
    x = 816,963,775,230,879,052,333,056/420,074,234,872
  6. Step 6: Final answer
    x = 1,944,808,101,548.56

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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.