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Finding the Third Proportional to 47,706,712 and 104,785,544

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Solution

The third proportional to 47,706,712 and 104,785,544 is: 230,156,507.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,706,712 : 104,785,544 = 104,785,544 : x
  2. Step 2: Convert to fraction form
    47,706,712/104,785,544 = 104,785,544/x
  3. Step 3: Cross multiply
    47,706,712x = 104,785,544 × 104,785,544
  4. Step 4: Simplify right side
    47,706,712x = 10,980,010,231,375,936
  5. Step 5: Solve for x
    x = 10,980,010,231,375,936/47,706,712
  6. Step 6: Final answer
    x = 230,156,507.78

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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.