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Finding the Third Proportional to 24,867,650.53 and 53,514,437.06

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Solution

The third proportional to 24,867,650.53 and 53,514,437.06 is: 115,161,461.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,867,650.53 : 53,514,437.06 = 53,514,437.06 : x
  2. Step 2: Convert to fraction form
    24,867,650.53/53,514,437.06 = 53,514,437.06/x
  3. Step 3: Cross multiply
    24,867,650.53x = 53,514,437.06 × 53,514,437.06
  4. Step 4: Simplify right side
    24,867,650.53x = 2,863,794,974,116,273.50
  5. Step 5: Solve for x
    x = 2,863,794,974,116,273.50/24,867,650.53
  6. Step 6: Final answer
    x = 115,161,461.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.