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Finding the Third Proportional to 47,874,276 and 105,313,032

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Solution

The third proportional to 47,874,276 and 105,313,032 is: 231,665,847.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,874,276 : 105,313,032 = 105,313,032 : x
  2. Step 2: Convert to fraction form
    47,874,276/105,313,032 = 105,313,032/x
  3. Step 3: Cross multiply
    47,874,276x = 105,313,032 × 105,313,032
  4. Step 4: Simplify right side
    47,874,276x = 11,090,834,709,033,024
  5. Step 5: Solve for x
    x = 11,090,834,709,033,024/47,874,276
  6. Step 6: Final answer
    x = 231,665,847.21

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.