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Finding the Third Proportional to 420,074,234,771.62 and 903,860,484,179.62

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Solution

The third proportional to 420,074,234,771.62 and 903,860,484,179.62 is: 1,944,808,101,133.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,074,234,771.62 : 903,860,484,179.62 = 903,860,484,179.62 : x
  2. Step 2: Convert to fraction form
    420,074,234,771.62/903,860,484,179.62 = 903,860,484,179.62/x
  3. Step 3: Cross multiply
    420,074,234,771.62x = 903,860,484,179.62 × 903,860,484,179.62
  4. Step 4: Simplify right side
    420,074,234,771.62x = 816,963,774,861,417,107,161,088
  5. Step 5: Solve for x
    x = 816,963,774,861,417,107,161,088/420,074,234,771.62
  6. Step 6: Final answer
    x = 1,944,808,101,133.77

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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.