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Finding the Third Proportional to 2,105,523,479 and 4,562,144,212

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Solution

The third proportional to 2,105,523,479 and 4,562,144,212 is: 9,885,028,601.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105,523,479 : 4,562,144,212 = 4,562,144,212 : x
  2. Step 2: Convert to fraction form
    2,105,523,479/4,562,144,212 = 4,562,144,212/x
  3. Step 3: Cross multiply
    2,105,523,479x = 4,562,144,212 × 4,562,144,212
  4. Step 4: Simplify right side
    2,105,523,479x = 20,813,159,811,085,099,008
  5. Step 5: Solve for x
    x = 20,813,159,811,085,099,008/2,105,523,479
  6. Step 6: Final answer
    x = 9,885,028,601.52

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.