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Finding the Third Proportional to 24,455,814 and 49,973,484

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Solution

The third proportional to 24,455,814 and 49,973,484 is: 102,116,785.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,455,814 : 49,973,484 = 49,973,484 : x
  2. Step 2: Convert to fraction form
    24,455,814/49,973,484 = 49,973,484/x
  3. Step 3: Cross multiply
    24,455,814x = 49,973,484 × 49,973,484
  4. Step 4: Simplify right side
    24,455,814x = 2,497,349,103,098,256
  5. Step 5: Solve for x
    x = 2,497,349,103,098,256/24,455,814
  6. Step 6: Final answer
    x = 102,116,785.12

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.