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Finding the Third Proportional to 47,857,440 and 105,284,544

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Solution

The third proportional to 47,857,440 and 105,284,544 is: 231,621,984.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,857,440 : 105,284,544 = 105,284,544 : x
  2. Step 2: Convert to fraction form
    47,857,440/105,284,544 = 105,284,544/x
  3. Step 3: Cross multiply
    47,857,440x = 105,284,544 × 105,284,544
  4. Step 4: Simplify right side
    47,857,440x = 11,084,835,205,287,936
  5. Step 5: Solve for x
    x = 11,084,835,205,287,936/47,857,440
  6. Step 6: Final answer
    x = 231,621,984.07

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Why These Related Problems?

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