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Finding the Third Proportional to 47,176,046 and 100,909,976

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Solution

The third proportional to 47,176,046 and 100,909,976 is: 215,847,323.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,176,046 : 100,909,976 = 100,909,976 : x
  2. Step 2: Convert to fraction form
    47,176,046/100,909,976 = 100,909,976/x
  3. Step 3: Cross multiply
    47,176,046x = 100,909,976 × 100,909,976
  4. Step 4: Simplify right side
    47,176,046x = 10,182,823,256,320,576
  5. Step 5: Solve for x
    x = 10,182,823,256,320,576/47,176,046
  6. Step 6: Final answer
    x = 215,847,323.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.