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Finding the Third Proportional to 24,867,653.25 and 53,514,443.63

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Solution

The third proportional to 24,867,653.25 and 53,514,443.63 is: 115,161,476.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,867,653.25 : 53,514,443.63 = 53,514,443.63 : x
  2. Step 2: Convert to fraction form
    24,867,653.25/53,514,443.63 = 53,514,443.63/x
  3. Step 3: Cross multiply
    24,867,653.25x = 53,514,443.63 × 53,514,443.63
  4. Step 4: Simplify right side
    24,867,653.25x = 2,863,795,676,493,303
  5. Step 5: Solve for x
    x = 2,863,795,676,493,303/24,867,653.25
  6. Step 6: Final answer
    x = 115,161,476.95

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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.