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Finding the Third Proportional to 21,959,134.31 and 47,698,455.94

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Solution

The third proportional to 21,959,134.31 and 47,698,455.94 is: 103,608,032.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,959,134.31 : 47,698,455.94 = 47,698,455.94 : x
  2. Step 2: Convert to fraction form
    21,959,134.31/47,698,455.94 = 47,698,455.94/x
  3. Step 3: Cross multiply
    21,959,134.31x = 47,698,455.94 × 47,698,455.94
  4. Step 4: Simplify right side
    21,959,134.31x = 2,275,142,698,821,629
  5. Step 5: Solve for x
    x = 2,275,142,698,821,629/21,959,134.31
  6. Step 6: Final answer
    x = 103,608,032.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.