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Finding the Third Proportional to 51,025,032 and 78,793,201.50

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Solution

The third proportional to 51,025,032 and 78,793,201.50 is: 121,672,997.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,025,032 : 78,793,201.50 = 78,793,201.50 : x
  2. Step 2: Convert to fraction form
    51,025,032/78,793,201.50 = 78,793,201.50/x
  3. Step 3: Cross multiply
    51,025,032x = 78,793,201.50 × 78,793,201.50
  4. Step 4: Simplify right side
    51,025,032x = 6,208,368,602,619,602
  5. Step 5: Solve for x
    x = 6,208,368,602,619,602/51,025,032
  6. Step 6: Final answer
    x = 121,672,997.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.