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Finding the Third Proportional to 24,446,740 and 51,808,101.50

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Solution

The third proportional to 24,446,740 and 51,808,101.50 is: 109,792,936.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,446,740 : 51,808,101.50 = 51,808,101.50 : x
  2. Step 2: Convert to fraction form
    24,446,740/51,808,101.50 = 51,808,101.50/x
  3. Step 3: Cross multiply
    24,446,740x = 51,808,101.50 × 51,808,101.50
  4. Step 4: Simplify right side
    24,446,740x = 2,684,079,381,034,302
  5. Step 5: Solve for x
    x = 2,684,079,381,034,302/24,446,740
  6. Step 6: Final answer
    x = 109,792,936.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.