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Finding the Third Proportional to 24,574,229.44 and 53,237,601.56

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Solution

The third proportional to 24,574,229.44 and 53,237,601.56 is: 115,333,920.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,574,229.44 : 53,237,601.56 = 53,237,601.56 : x
  2. Step 2: Convert to fraction form
    24,574,229.44/53,237,601.56 = 53,237,601.56/x
  3. Step 3: Cross multiply
    24,574,229.44x = 53,237,601.56 × 53,237,601.56
  4. Step 4: Simplify right side
    24,574,229.44x = 2,834,242,220,127,502.50
  5. Step 5: Solve for x
    x = 2,834,242,220,127,502.50/24,574,229.44
  6. Step 6: Final answer
    x = 115,333,920.33

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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.