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Finding the Third Proportional to 2,105,523,477 and 4,562,144,208

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Solution

The third proportional to 2,105,523,477 and 4,562,144,208 is: 9,885,028,593.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105,523,477 : 4,562,144,208 = 4,562,144,208 : x
  2. Step 2: Convert to fraction form
    2,105,523,477/4,562,144,208 = 4,562,144,208/x
  3. Step 3: Cross multiply
    2,105,523,477x = 4,562,144,208 × 4,562,144,208
  4. Step 4: Simplify right side
    2,105,523,477x = 20,813,159,774,587,949,056
  5. Step 5: Solve for x
    x = 20,813,159,774,587,949,056/2,105,523,477
  6. Step 6: Final answer
    x = 9,885,028,593.57

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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.