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Finding the Third Proportional to 47,980,835 and 104,480,710

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Solution

The third proportional to 47,980,835 and 104,480,710 is: 227,512,063.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,980,835 : 104,480,710 = 104,480,710 : x
  2. Step 2: Convert to fraction form
    47,980,835/104,480,710 = 104,480,710/x
  3. Step 3: Cross multiply
    47,980,835x = 104,480,710 × 104,480,710
  4. Step 4: Simplify right side
    47,980,835x = 10,916,218,762,104,100
  5. Step 5: Solve for x
    x = 10,916,218,762,104,100/47,980,835
  6. Step 6: Final answer
    x = 227,512,063.14

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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.