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Finding the Third Proportional to 27,149,742 and 37,977,133.50

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Solution

The third proportional to 27,149,742 and 37,977,133.50 is: 53,122,518.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,149,742 : 37,977,133.50 = 37,977,133.50 : x
  2. Step 2: Convert to fraction form
    27,149,742/37,977,133.50 = 37,977,133.50/x
  3. Step 3: Cross multiply
    27,149,742x = 37,977,133.50 × 37,977,133.50
  4. Step 4: Simplify right side
    27,149,742x = 1,442,262,668,876,822.25
  5. Step 5: Solve for x
    x = 1,442,262,668,876,822.25/27,149,742
  6. Step 6: Final answer
    x = 53,122,518.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.