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Finding the Third Proportional to 47,373,228 and 103,313,664

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Solution

The third proportional to 47,373,228 and 103,313,664 is: 225,311,080.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,373,228 : 103,313,664 = 103,313,664 : x
  2. Step 2: Convert to fraction form
    47,373,228/103,313,664 = 103,313,664/x
  3. Step 3: Cross multiply
    47,373,228x = 103,313,664 × 103,313,664
  4. Step 4: Simplify right side
    47,373,228x = 10,673,713,169,104,896
  5. Step 5: Solve for x
    x = 10,673,713,169,104,896/47,373,228
  6. Step 6: Final answer
    x = 225,311,080.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.