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Finding the Third Proportional to 22,642,420.50 and 49,733,037

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Solution

The third proportional to 22,642,420.50 and 49,733,037 is: 109,236,332.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,642,420.50 : 49,733,037 = 49,733,037 : x
  2. Step 2: Convert to fraction form
    22,642,420.50/49,733,037 = 49,733,037/x
  3. Step 3: Cross multiply
    22,642,420.50x = 49,733,037 × 49,733,037
  4. Step 4: Simplify right side
    22,642,420.50x = 2,473,374,969,243,369
  5. Step 5: Solve for x
    x = 2,473,374,969,243,369/22,642,420.50
  6. Step 6: Final answer
    x = 109,236,332.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.