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Finding the Third Proportional to 24,606,678 and 53,847,426.75

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Solution

The third proportional to 24,606,678 and 53,847,426.75 is: 117,835,709.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,606,678 : 53,847,426.75 = 53,847,426.75 : x
  2. Step 2: Convert to fraction form
    24,606,678/53,847,426.75 = 53,847,426.75/x
  3. Step 3: Cross multiply
    24,606,678x = 53,847,426.75 × 53,847,426.75
  4. Step 4: Simplify right side
    24,606,678x = 2,899,545,367,596,615.50
  5. Step 5: Solve for x
    x = 2,899,545,367,596,615.50/24,606,678
  6. Step 6: Final answer
    x = 117,835,709.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.