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Finding the Third Proportional to 29,720,272.50 and 45,466,771.50

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Solution

The third proportional to 29,720,272.50 and 45,466,771.50 is: 69,556,135.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,720,272.50 : 45,466,771.50 = 45,466,771.50 : x
  2. Step 2: Convert to fraction form
    29,720,272.50/45,466,771.50 = 45,466,771.50/x
  3. Step 3: Cross multiply
    29,720,272.50x = 45,466,771.50 × 45,466,771.50
  4. Step 4: Simplify right side
    29,720,272.50x = 2,067,227,310,633,212.25
  5. Step 5: Solve for x
    x = 2,067,227,310,633,212.25/29,720,272.50
  6. Step 6: Final answer
    x = 69,556,135.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.