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Finding the Third Proportional to 24,226,109.02 and 37,237,198.50

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Solution

The third proportional to 24,226,109.02 and 37,237,198.50 is: 57,236,139.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,226,109.02 : 37,237,198.50 = 37,237,198.50 : x
  2. Step 2: Convert to fraction form
    24,226,109.02/37,237,198.50 = 37,237,198.50/x
  3. Step 3: Cross multiply
    24,226,109.02x = 37,237,198.50 × 37,237,198.50
  4. Step 4: Simplify right side
    24,226,109.02x = 1,386,608,952,128,402.25
  5. Step 5: Solve for x
    x = 1,386,608,952,128,402.25/24,226,109.02
  6. Step 6: Final answer
    x = 57,236,139.37

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